12x^2-1584x+31104=0

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Solution for 12x^2-1584x+31104=0 equation:


Simplifying
12x2 + -1584x + 31104 = 0

Reorder the terms:
31104 + -1584x + 12x2 = 0

Solving
31104 + -1584x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '12'.
12(2592 + -132x + x2) = 0

Factor a trinomial.
12((24 + -1x)(108 + -1x)) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24

Subproblem 2

Set the factor '(108 + -1x)' equal to zero and attempt to solve: Simplifying 108 + -1x = 0 Solving 108 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-108' to each side of the equation. 108 + -108 + -1x = 0 + -108 Combine like terms: 108 + -108 = 0 0 + -1x = 0 + -108 -1x = 0 + -108 Combine like terms: 0 + -108 = -108 -1x = -108 Divide each side by '-1'. x = 108 Simplifying x = 108

Solution

x = {24, 108}

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