# SOLUTION: {{{6(6x+9)=x(5x)}}}

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: {{{6(6x+9)=x(5x)}}}      Log On

 Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo . Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

Question 306539:
Found 2 solutions by checkley77, ichudov:
You can put this solution on YOUR website!
6(6x+9)=x(5x)
36x+54=5x^2
5x^2-36x-54=0

x=(36+-sqrt[-36^2-4*5*-54])/2*5
x=(36+-sqrt[1,296+1.080])/10
x=(36+-sqrt2,376)/10
x=(36+-48.74)/10
x=(36+48.74)/10
x=84.74/10
x=8.474 ans.
x=(36-48.74)/10
x=-12.74/10
x=-1.274 ans.

You can put this solution on YOUR website!
Solved by pluggable solver: EXPLAIN simplification of an expression

 Here's what you tried: This is an equation! Solutions: x=-1.27442304278158,x=8.47442304278158. Graphical form: Equation was fully solved.Text form: 6*(6x+9)=x*(5x) simplifies to 0=0Cartoon (animation) form: For tutors: `simplify_cartoon( 6*(6x+9)=x*(5x) )` If you have a website, here's a link to this solution.

### DETAILED EXPLANATION

Look at .
Remove unneeded parentheses around factor ,
It becomes .

Look at .
Reduce similar several occurrences of to
It becomes .

Look at .
Moved these terms to the left
It becomes .

Look at .
Expanded term by using associative property on
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Multiplied numerator integers
It becomes .

Look at .
Moved to the right of expression
It becomes .

Look at .
Equation is a quadratic equation: -5*x^2+36*x+54 =0, and has solutions -1.27442304278158,8.47442304278158
It becomes .
Result:
This is an equation! Solutions: x=-1.27442304278158,x=8.47442304278158.

Done!