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Simplifying (4x3 + -4x)(x2 + -5x) = 0 Reorder the terms: (-4x + 4x3)(x2 + -5x) = 0 Reorder the terms: (-4x + 4x3)(-5x + x2) = 0 Multiply (-4x + 4x3) * (-5x + x2) (-4x * (-5x + x2) + 4x3 * (-5x + x2)) = 0 ((-5x * -4x + x2 * -4x) + 4x3 * (-5x + x2)) = 0 ((20x2 + -4x3) + 4x3 * (-5x + x2)) = 0 (20x2 + -4x3 + (-5x * 4x3 + x2 * 4x3)) = 0 (20x2 + -4x3 + (-20x4 + 4x5)) = 0 (20x2 + -4x3 + -20x4 + 4x5) = 0 Solving 20x2 + -4x3 + -20x4 + 4x5 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x2'. 4x2(5 + -1x + -5x2 + x3) = 0 Ignore the factor 4.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 '(5 + -1x + -5x2 + x3)' equal to zero and attempt to solve: Simplifying 5 + -1x + -5x2 + x3 = 0 Solving 5 + -1x + -5x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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