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Simplifying 0 = 8x3 + -72x2 + 112x Reorder the terms: 0 = 112x + -72x2 + 8x3 Solving 0 = 112x + -72x2 + 8x3 Solving for variable 'x'. Remove the zero: -112x + 72x2 + -8x3 = 112x + -72x2 + 8x3 + -112x + 72x2 + -8x3 Reorder the terms: -112x + 72x2 + -8x3 = 112x + -112x + -72x2 + 72x2 + 8x3 + -8x3 Combine like terms: 112x + -112x = 0 -112x + 72x2 + -8x3 = 0 + -72x2 + 72x2 + 8x3 + -8x3 -112x + 72x2 + -8x3 = -72x2 + 72x2 + 8x3 + -8x3 Combine like terms: -72x2 + 72x2 = 0 -112x + 72x2 + -8x3 = 0 + 8x3 + -8x3 -112x + 72x2 + -8x3 = 8x3 + -8x3 Combine like terms: 8x3 + -8x3 = 0 -112x + 72x2 + -8x3 = 0 Factor out the Greatest Common Factor (GCF), '8x'. 8x(-14 + 9x + -1x2) = 0 Factor a trinomial. 8x((-7 + x)(2 + -1x)) = 0 Ignore the factor 8.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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 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 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Simplifying x = 7Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, 7, 2}
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