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Simplifying 0 = 4x3 + -400x Reorder the terms: 0 = -400x + 4x3 Solving 0 = -400x + 4x3 Solving for variable 'x'. Remove the zero: 400x + -4x3 = -400x + 4x3 + 400x + -4x3 Reorder the terms: 400x + -4x3 = -400x + 400x + 4x3 + -4x3 Combine like terms: -400x + 400x = 0 400x + -4x3 = 0 + 4x3 + -4x3 400x + -4x3 = 4x3 + -4x3 Combine like terms: 4x3 + -4x3 = 0 400x + -4x3 = 0 Factor out the Greatest Common Factor (GCF), '4x'. 4x(100 + -1x2) = 0 Factor a difference between two squares. 4x((10 + x)(10 + -1x)) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Subproblem 3
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {0, -10, 10}
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