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Simplifying 0 = 4x3 + -128x Reorder the terms: 0 = -128x + 4x3 Solving 0 = -128x + 4x3 Solving for variable 'x'. Remove the zero: 128x + -4x3 = -128x + 4x3 + 128x + -4x3 Reorder the terms: 128x + -4x3 = -128x + 128x + 4x3 + -4x3 Combine like terms: -128x + 128x = 0 128x + -4x3 = 0 + 4x3 + -4x3 128x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 128x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(32 + -1x2) = 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 '(32 + -1x2)' equal to zero and attempt to solve: Simplifying 32 + -1x2 = 0 Solving 32 + -1x2 = 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 + -1x2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -1x2 = 0 + -32 -1x2 = 0 + -32 Combine like terms: 0 + -32 = -32 -1x2 = -32 Divide each side by '-1'. 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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