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Simplifying 4x3 + 40x2 = -16x2 + -160x Reorder the terms: 40x2 + 4x3 = -16x2 + -160x Reorder the terms: 40x2 + 4x3 = -160x + -16x2 Solving 40x2 + 4x3 = -160x + -16x2 Solving for variable 'x'. Reorder the terms: 160x + 40x2 + 16x2 + 4x3 = -160x + -16x2 + 160x + 16x2 Combine like terms: 40x2 + 16x2 = 56x2 160x + 56x2 + 4x3 = -160x + -16x2 + 160x + 16x2 Reorder the terms: 160x + 56x2 + 4x3 = -160x + 160x + -16x2 + 16x2 Combine like terms: -160x + 160x = 0 160x + 56x2 + 4x3 = 0 + -16x2 + 16x2 160x + 56x2 + 4x3 = -16x2 + 16x2 Combine like terms: -16x2 + 16x2 = 0 160x + 56x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(40 + 14x + x2) = 0 Factor a trinomial. 4x((10 + x)(4 + x)) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {0, -10, -4}
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