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Simplifying 0 = 7x3 + -56x2 + 84x Reorder the terms: 0 = 84x + -56x2 + 7x3 Solving 0 = 84x + -56x2 + 7x3 Solving for variable 'x'. Remove the zero: -84x + 56x2 + -7x3 = 84x + -56x2 + 7x3 + -84x + 56x2 + -7x3 Reorder the terms: -84x + 56x2 + -7x3 = 84x + -84x + -56x2 + 56x2 + 7x3 + -7x3 Combine like terms: 84x + -84x = 0 -84x + 56x2 + -7x3 = 0 + -56x2 + 56x2 + 7x3 + -7x3 -84x + 56x2 + -7x3 = -56x2 + 56x2 + 7x3 + -7x3 Combine like terms: -56x2 + 56x2 = 0 -84x + 56x2 + -7x3 = 0 + 7x3 + -7x3 -84x + 56x2 + -7x3 = 7x3 + -7x3 Combine like terms: 7x3 + -7x3 = 0 -84x + 56x2 + -7x3 = 0 Factor out the Greatest Common Factor (GCF), '7x'. 7x(-12 + 8x + -1x2) = 0 Factor a trinomial. 7x((-6 + x)(2 + -1x)) = 0 Ignore the factor 7.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 '(-6 + x)' equal to zero and attempt to solve: Simplifying -6 + x = 0 Solving -6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x = 0 + 6 x = 0 + 6 Combine like terms: 0 + 6 = 6 x = 6 Simplifying x = 6Subproblem 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, 6, 2}
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