SOLUTION: solve for x and find the missing dimension Triangle Area:155 square units height:10 units Base:3x +10

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Question 549457: solve for x and find the missing dimension
Triangle
Area:155 square units
height:10 units
Base:3x +10
Answer by TutorDelphia(193) About Me  (Show Source):
You can put this solution on YOUR website!
Area of triangle formula is A=%281%2F2%29b%2Ah
In this case 155=%281%2F2%29%283x%2B10%29%2A10
Which when we solve will give us 7 (see below)
Therefore the base of the triangle was 3*7+10=31
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=7.
  • Graphical form: Equation 155=%281%2F2%29%2A%283x%2B10%29%2A10 was fully solved.
  • Text form: 155=(1/2)*(3x+10)*10 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+155=%281%2F2%29%2A%283x%2B10%29%2A10+%29
    For tutors: simplify_cartoon( 155=(1/2)*(3x+10)*10 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 155=highlight_red%28+%28highlight_red%28+1%2F2+%29%29%2A%283%2Ax%2B10%29%2A10+%29.
Remove unneeded parentheses around factor highlight_red%28+1+%29,highlight_red%28+1%2F2+%29
It becomes 155=highlight_green%28+1+%29%2Fhighlight_green%28+2+%29%2A%283%2Ax%2B10%29%2A10.
Look at 155=1%2Fhighlight_red%28+2+%29%2A%283%2Ax%2B10%29%2Ahighlight_red%28+10+%29.
Factors 10 and 2 have greatest common factor (GCF) of 2. Reducing fraction.
It becomes 155=1%2Fhighlight_green%28+1+%29%2A%283%2Ax%2B10%29%2Ahighlight_green%28+5+%29.
Look at 155=highlight_red%28+1+%29%2F1%2A%283%2Ax%2B10%29%2Ahighlight_red%28+5+%29.
Multiplied numerator integers
It becomes 155=highlight_green%28+5+%29%2F1%2A%283%2Ax%2B10%29.
Look at 155=5%2Fhighlight_red%28+1+%29%2A%283%2Ax%2B10%29.
Remove extraneous '1' from product highlight_red%28+1%2F1+%29
It becomes 155=5%2A%283%2Ax%2B10%29.
Look at 155=highlight_red%28+5%2A%283%2Ax%2B10%29+%29.
Moved these terms to the left highlight_green%28+-5%2A%283%2Ax%2B10%29+%29
It becomes 155-highlight_green%28+5%2A%283%2Ax%2B10%29+%29=0.
Look at highlight_red%28+155+%29-5%2A%283%2Ax%2B10%29=0.
Moved 155 to the right of expression
It becomes -5%2A%283%2Ax%2B10%29%2Bhighlight_green%28+155+%29=0.
Look at -highlight_red%28+5%2A%283%2Ax%2B10%29+%29%2B155=0.
Expanded term -5 by using associative property on %283%2Ax%2B10%29
It becomes -highlight_green%28+5%2A3%2Ax+%29-highlight_green%28+5%2A10+%29%2B155=0.
Look at -highlight_red%28+5+%29%2Ahighlight_red%28+3+%29%2Ax-5%2A10%2B155=0.
Multiplied numerator integers
It becomes -highlight_green%28+15+%29%2Ax-5%2A10%2B155=0.
Look at -15%2Ax-highlight_red%28+5+%29%2Ahighlight_red%28+10+%29%2B155=0.
Multiplied numerator integers
It becomes -15%2Ax-highlight_green%28+50+%29%2B155=0.
Look at -15%2Ax-highlight_red%28+50+%29%2Bhighlight_red%28+155+%29=0.
Added fractions or integers together
It becomes -15%2Ax%2Bhighlight_green%28+105+%29=0.
Look at highlight_red%28+-15%2Ax%2B105+%29=0.
Solved linear equation highlight_red%28+-15%2Ax%2B105=0+%29 equivalent to -15*x+105 =0
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: x=7.

Universal Simplifier and Solver


Done!