8x(x+15)=12x

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Solution for 8x(x+15)=12x equation: 


Simplifying
8x(x + 15) = 12x

Reorder the terms:
8x(15 + x) = 12x
(15 * 8x + x * 8x) = 12x
(120x + 8x2) = 12x

Solving
120x + 8x2 = 12x

Solving for variable 'x'.

Reorder the terms:
120x + -12x + 8x2 = 12x + -12x

Combine like terms: 120x + -12x = 108x
108x + 8x2 = 12x + -12x

Combine like terms: 12x + -12x = 0
108x + 8x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(27 + 2x) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(27 + 2x)' equal to zero and attempt to solve:

Simplifying
27 + 2x = 0

Solving
27 + 2x = 0

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

Add '-27' to each side of the equation.
27 + -27 + 2x = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 2x = 0 + -27
2x = 0 + -27

Combine like terms: 0 + -27 = -27
2x = -27

Divide each side by '2'.
x = -13.5

Simplifying
x = -13.5
Solution
x = {0, -13.5}

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