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Simplifying 0 = -4x3 + 100x Reorder the terms: 0 = 100x + -4x3 Solving 0 = 100x + -4x3 Solving for variable 'x'. Remove the zero: -100x + 4x3 = 100x + -4x3 + -100x + 4x3 Reorder the terms: -100x + 4x3 = 100x + -100x + -4x3 + 4x3 Combine like terms: 100x + -100x = 0 -100x + 4x3 = 0 + -4x3 + 4x3 -100x + 4x3 = -4x3 + 4x3 Combine like terms: -4x3 + 4x3 = 0 -100x + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(-25 + x2) = 0 Factor a difference between two squares. 4x((5 + x)(-5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 3
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Solution
x = {0, -5, 5}
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