9x(x+8)=4x+32

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Solution for 9x(x+8)=4x+32 equation: 


Simplifying
9x(x + 8) = 4x + 32

Reorder the terms:
9x(8 + x) = 4x + 32
(8 * 9x + x * 9x) = 4x + 32
(72x + 9x2) = 4x + 32

Reorder the terms:
72x + 9x2 = 32 + 4x

Solving
72x + 9x2 = 32 + 4x

Solving for variable 'x'.

Reorder the terms:
-32 + 72x + -4x + 9x2 = 32 + 4x + -32 + -4x

Combine like terms: 72x + -4x = 68x
-32 + 68x + 9x2 = 32 + 4x + -32 + -4x

Reorder the terms:
-32 + 68x + 9x2 = 32 + -32 + 4x + -4x

Combine like terms: 32 + -32 = 0
-32 + 68x + 9x2 = 0 + 4x + -4x
-32 + 68x + 9x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-32 + 68x + 9x2 = 0

Factor a trinomial.
(-8 + -1x)(4 + -9x) = 0


Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(4 + -9x)' equal to zero and attempt to solve:

Simplifying
4 + -9x = 0

Solving
4 + -9x = 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 + -9x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 0 + -4
-9x = 0 + -4

Combine like terms: 0 + -4 = -4
-9x = -4

Divide each side by '-9'.
x = 0.4444444444

Simplifying
x = 0.4444444444
Solution
x = {-8, 0.4444444444}

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