3x(x+12)=12(5x)

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Solution for 3x(x+12)=12(5x) equation: 


Simplifying
3x(x + 12) = 12(5x)

Reorder the terms:
3x(12 + x) = 12(5x)
(12 * 3x + x * 3x) = 12(5x)
(36x + 3x2) = 12(5x)

Remove parenthesis around (5x)
36x + 3x2 = 12 * 5x

Multiply 12 * 5
36x + 3x2 = 60x

Solving
36x + 3x2 = 60x

Solving for variable 'x'.

Reorder the terms:
36x + -60x + 3x2 = 60x + -60x

Combine like terms: 36x + -60x = -24x
-24x + 3x2 = 60x + -60x

Combine like terms: 60x + -60x = 0
-24x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-8 + x) = 0

Ignore the factor 3.

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 '(-8 + x)' equal to zero and attempt to solve:

Simplifying
-8 + x = 0

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

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

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

Simplifying
x = 8
Solution
x = {0, 8}

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