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Simplifying (4x3 + 16x2)(-1x + -4) = 0 Reorder the terms: (16x2 + 4x3)(-1x + -4) = 0 Reorder the terms: (16x2 + 4x3)(-4 + -1x) = 0 Multiply (16x2 + 4x3) * (-4 + -1x) (16x2 * (-4 + -1x) + 4x3 * (-4 + -1x)) = 0 ((-4 * 16x2 + -1x * 16x2) + 4x3 * (-4 + -1x)) = 0 ((-64x2 + -16x3) + 4x3 * (-4 + -1x)) = 0 (-64x2 + -16x3 + (-4 * 4x3 + -1x * 4x3)) = 0 (-64x2 + -16x3 + (-16x3 + -4x4)) = 0 Combine like terms: -16x3 + -16x3 = -32x3 (-64x2 + -32x3 + -4x4) = 0 Solving -64x2 + -32x3 + -4x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-4x2'. -4x2(16 + 8x + x2) = 0 Factor a trinomial. -4x2((4 + x)(4 + x)) = 0 Ignore the factor -4.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
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 = -4Subproblem 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, -4, -4}
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