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Simplifying 2x4 + -32x2 = 32x2 Reorder the terms: -32x2 + 2x4 = 32x2 Solving -32x2 + 2x4 = 32x2 Solving for variable 'x'. Reorder the terms: -32x2 + -32x2 + 2x4 = 32x2 + -32x2 Combine like terms: -32x2 + -32x2 = -64x2 -64x2 + 2x4 = 32x2 + -32x2 Combine like terms: 32x2 + -32x2 = 0 -64x2 + 2x4 = 0 Factor out the Greatest Common Factor (GCF), '2x2'. 2x2(-32 + x2) = 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 '(-32 + x2)' equal to zero and attempt to solve: Simplifying -32 + x2 = 0 Solving -32 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + x2 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + x2 = 0 + 32 x2 = 0 + 32 Combine like terms: 0 + 32 = 32 x2 = 32 Simplifying x2 = 32 Take the square root of each side: x = {-5.656854249, 5.656854249}Solution
x = {0, -5.656854249, 5.656854249}
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