x(9x+9)=4x^2-2x+36

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Solution for x(9x+9)=4x^2-2x+36 equation: 


Simplifying
x(9x + 9) = 4x2 + -2x + 36

Reorder the terms:
x(9 + 9x) = 4x2 + -2x + 36
(9 * x + 9x * x) = 4x2 + -2x + 36
(9x + 9x2) = 4x2 + -2x + 36

Reorder the terms:
9x + 9x2 = 36 + -2x + 4x2

Solving
9x + 9x2 = 36 + -2x + 4x2

Solving for variable 'x'.

Reorder the terms:
-36 + 9x + 2x + 9x2 + -4x2 = 36 + -2x + 4x2 + -36 + 2x + -4x2

Combine like terms: 9x + 2x = 11x
-36 + 11x + 9x2 + -4x2 = 36 + -2x + 4x2 + -36 + 2x + -4x2

Combine like terms: 9x2 + -4x2 = 5x2
-36 + 11x + 5x2 = 36 + -2x + 4x2 + -36 + 2x + -4x2

Reorder the terms:
-36 + 11x + 5x2 = 36 + -36 + -2x + 2x + 4x2 + -4x2

Combine like terms: 36 + -36 = 0
-36 + 11x + 5x2 = 0 + -2x + 2x + 4x2 + -4x2
-36 + 11x + 5x2 = -2x + 2x + 4x2 + -4x2

Combine like terms: -2x + 2x = 0
-36 + 11x + 5x2 = 0 + 4x2 + -4x2
-36 + 11x + 5x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-36 + 11x + 5x2 = 0

Factor a trinomial.
(-4 + -1x)(9 + -5x) = 0


Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-4, 1.8}

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