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Simplifying 2x4 + 16x3 = -32x2 Reorder the terms: 16x3 + 2x4 = -32x2 Solving 16x3 + 2x4 = -32x2 Solving for variable 'x'. Reorder the terms: 32x2 + 16x3 + 2x4 = -32x2 + 32x2 Combine like terms: -32x2 + 32x2 = 0 32x2 + 16x3 + 2x4 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(16 + 8x + x2) = 0 Factor a trinomial. 2x2((4 + x)(4 + x)) = 0 Ignore the factor 2.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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