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Simplifying 0 = -3x3 + -3x2 + 168x Reorder the terms: 0 = 168x + -3x2 + -3x3 Solving 0 = 168x + -3x2 + -3x3 Solving for variable 'x'. Remove the zero: -168x + 3x2 + 3x3 = 168x + -3x2 + -3x3 + -168x + 3x2 + 3x3 Reorder the terms: -168x + 3x2 + 3x3 = 168x + -168x + -3x2 + 3x2 + -3x3 + 3x3 Combine like terms: 168x + -168x = 0 -168x + 3x2 + 3x3 = 0 + -3x2 + 3x2 + -3x3 + 3x3 -168x + 3x2 + 3x3 = -3x2 + 3x2 + -3x3 + 3x3 Combine like terms: -3x2 + 3x2 = 0 -168x + 3x2 + 3x3 = 0 + -3x3 + 3x3 -168x + 3x2 + 3x3 = -3x3 + 3x3 Combine like terms: -3x3 + 3x3 = 0 -168x + 3x2 + 3x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-56 + x + x2) = 0 Factor a trinomial. 3x((-8 + -1x)(7 + -1x)) = 0 Ignore the factor 3.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 '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 3
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {0, -8, 7}
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