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Simplifying 13x3 + -144x2 + -144x = 0 Reorder the terms: -144x + -144x2 + 13x3 = 0 Solving -144x + -144x2 + 13x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-144 + -144x + 13x2) = 0 Factor a trinomial. x((-12 + -13x)(12 + -1x)) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(-12 + -13x)' equal to zero and attempt to solve: Simplifying -12 + -13x = 0 Solving -12 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -13x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -13x = 0 + 12 -13x = 0 + 12 Combine like terms: 0 + 12 = 12 -13x = 12 Divide each side by '-13'. x = -0.9230769231 Simplifying x = -0.9230769231Subproblem 3
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {0, -0.9230769231, 12}
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