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Simplifying 2x3 + -12x + -144x = 0 Reorder the terms: -12x + -144x + 2x3 = 0 Combine like terms: -12x + -144x = -156x -156x + 2x3 = 0 Solving -156x + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-78 + x2) = 0 Ignore the factor 2.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 = 0Subproblem 2
Set the factor '(-78 + x2)' equal to zero and attempt to solve: Simplifying -78 + x2 = 0 Solving -78 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + x2 = 0 + 78 Combine like terms: -78 + 78 = 0 0 + x2 = 0 + 78 x2 = 0 + 78 Combine like terms: 0 + 78 = 78 x2 = 78 Simplifying x2 = 78 Take the square root of each side: x = {-8.831760866, 8.831760866}Solution
x = {0, -8.831760866, 8.831760866}
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