12x^2+64x+60x=0

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Solution for 12x^2+64x+60x=0 equation: 


Simplifying
12x2 + 64x + 60x = 0

Reorder the terms:
64x + 60x + 12x2 = 0

Combine like terms: 64x + 60x = 124x
124x + 12x2 = 0

Solving
124x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(31 + 3x) = 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 '(31 + 3x)' equal to zero and attempt to solve:

Simplifying
31 + 3x = 0

Solving
31 + 3x = 0

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

Add '-31' to each side of the equation.
31 + -31 + 3x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + 3x = 0 + -31
3x = 0 + -31

Combine like terms: 0 + -31 = -31
3x = -31

Divide each side by '3'.
x = -10.33333333

Simplifying
x = -10.33333333
Solution
x = {0, -10.33333333}

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