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Simplifying X2(2x + 8)(x + -5) = 0 Reorder the terms: X2(8 + 2x)(x + -5) = 0 Reorder the terms: X2(8 + 2x)(-5 + x) = 0 Multiply (8 + 2x) * (-5 + x) X2(8(-5 + x) + 2x * (-5 + x)) = 0 X2((-5 * 8 + x * 8) + 2x * (-5 + x)) = 0 X2((-40 + 8x) + 2x * (-5 + x)) = 0 X2(-40 + 8x + (-5 * 2x + x * 2x)) = 0 X2(-40 + 8x + (-10x + 2x2)) = 0 Combine like terms: 8x + -10x = -2x X2(-40 + -2x + 2x2) = 0 (-40 * X2 + -2x * X2 + 2x2 * X2) = 0 (-40X2 + -2xX2 + 2x2X2) = 0 Solving -40X2 + -2xX2 + 2x2X2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '2X2'. 2X2(-20 + -1x + x2) = 0 Factor a trinomial. 2X2((-4 + -1x)(5 + -1x)) = 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 '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Add 'x' to each side of the equation. -1x + x = 4 + x Combine like terms: -1x + x = 0 0 = 4 + x Simplifying 0 = 4 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Add 'x' to each side of the equation. -1x + x = -5 + x Combine like terms: -1x + x = 0 0 = -5 + x Simplifying 0 = -5 + x 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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