9x(x+6)=6x-64

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Solution for 9x(x+6)=6x-64 equation: 


Simplifying
9x(x + 6) = 6x + -64

Reorder the terms:
9x(6 + x) = 6x + -64
(6 * 9x + x * 9x) = 6x + -64
(54x + 9x2) = 6x + -64

Reorder the terms:
54x + 9x2 = -64 + 6x

Solving
54x + 9x2 = -64 + 6x

Solving for variable 'x'.

Reorder the terms:
64 + 54x + -6x + 9x2 = -64 + 6x + 64 + -6x

Combine like terms: 54x + -6x = 48x
64 + 48x + 9x2 = -64 + 6x + 64 + -6x

Reorder the terms:
64 + 48x + 9x2 = -64 + 64 + 6x + -6x

Combine like terms: -64 + 64 = 0
64 + 48x + 9x2 = 0 + 6x + -6x
64 + 48x + 9x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
64 + 48x + 9x2 = 0

Factor a trinomial.
(8 + 3x)(8 + 3x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667
Solution
x = {-2.666666667, -2.666666667}

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