12x*12+5x(x+2)=

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Solution for 12x*12+5x(x+2)= equation: 


Simplifying
12x * 12 + 5x(x + 2) = 0

Reorder the terms for easier multiplication:
12 * 12x + 5x(x + 2) = 0

Multiply 12 * 12
144x + 5x(x + 2) = 0

Reorder the terms:
144x + 5x(2 + x) = 0
144x + (2 * 5x + x * 5x) = 0
144x + (10x + 5x2) = 0

Combine like terms: 144x + 10x = 154x
154x + 5x2 = 0

Solving
154x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(154 + 5x) = 0


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 '(154 + 5x)' equal to zero and attempt to solve:

Simplifying
154 + 5x = 0

Solving
154 + 5x = 0

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

Add '-154' to each side of the equation.
154 + -154 + 5x = 0 + -154

Combine like terms: 154 + -154 = 0
0 + 5x = 0 + -154
5x = 0 + -154

Combine like terms: 0 + -154 = -154
5x = -154

Divide each side by '5'.
x = -30.8

Simplifying
x = -30.8
Solution
x = {0, -30.8}

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