SOLUTION: (x^2⁄2)- 4 – 6x = - 4 I need help with this . Can someone please explain what to do for me using this example. I need to know the steps as well as how you got the answer.

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Question 213438: (x^2⁄2)- 4 – 6x = - 4
I need help with this . Can someone please explain what to do for me using this example. I need to know the steps as well as how you got the answer. Thankyou for you time. Your are appreshated.
Found 2 solutions by stanbon, drj:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
(x^2⁄2)- 4 – 6x = - 4
---
Add 4 to both sides to get:
(x^2/2) - 6x = 0
---
Factor out the common factor of "x":
x[(x/2)-6] = 0
x = 0 or (x/2)-6 = 0
x = 0 or (x/2) = 6
x= 0 or x = 12
=====================
Cheers,
Stan H.
Answer by drj(1380)   (Show Source): You can put this solution on YOUR website!


The following steps will simplify and solve the equation.

Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: x=12,x=0.
  • Graphical form: Equation was fully solved.
  • Text form: (x^2)/2-4-6x=-4 simplifies to 0=0
  • Cartoon (animation) form:
    For tutors: simplify_cartoon( (x^2)/2-4-6x=-4 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor highlight_red%28+x%5E2+%29
It becomes .
Look at .
Moved -4 to the right of expression
It becomes .
Look at .
Moved these terms to the left highlight_green%28+4+%29
It becomes .
Look at .
Added fractions or integers together
It becomes .
Look at .
Remove extraneous zero highlight_red%28+0+%29
It becomes .
Look at .
Equation highlight_red%28+x%5E2%2F2-6%2Ax=0+%29 is a quadratic equation: 0.5*x^2-6*x =0, and has solutions 12,0
It becomes .
Result:
This is an equation! Solutions: x=12,x=0.

Universal Simplifier and Solver


Done!



You can also use the quadratic formula given as



where a=1/2, b=-6, and c=0

Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation (in our case ) has the following solutons:



For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=36 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 12, 0. Here's your graph:



I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J
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