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Simplifying -56x3 = -12x2 + -8x Reorder the terms: -56x3 = -8x + -12x2 Solving -56x3 = -8x + -12x2 Solving for variable 'x'. Reorder the terms: 8x + 12x2 + -56x3 = -8x + -12x2 + 8x + 12x2 Reorder the terms: 8x + 12x2 + -56x3 = -8x + 8x + -12x2 + 12x2 Combine like terms: -8x + 8x = 0 8x + 12x2 + -56x3 = 0 + -12x2 + 12x2 8x + 12x2 + -56x3 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 8x + 12x2 + -56x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(2 + 3x + -14x2) = 0 Factor a trinomial. 4x((1 + -2x)(2 + 7x)) = 0 Ignore the factor 4.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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Subproblem 3
Set the factor '(2 + 7x)' equal to zero and attempt to solve: Simplifying 2 + 7x = 0 Solving 2 + 7x = 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 + 7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 0 + -2 7x = 0 + -2 Combine like terms: 0 + -2 = -2 7x = -2 Divide each side by '7'. x = -0.2857142857 Simplifying x = -0.2857142857Solution
x = {0, 0.5, -0.2857142857}
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