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Simplifying X(x + -9)(2x + 10) = 0 Reorder the terms: X(-9 + x)(2x + 10) = 0 Reorder the terms: X(-9 + x)(10 + 2x) = 0 Multiply (-9 + x) * (10 + 2x) X(-9(10 + 2x) + x(10 + 2x)) = 0 X((10 * -9 + 2x * -9) + x(10 + 2x)) = 0 X((-90 + -18x) + x(10 + 2x)) = 0 X(-90 + -18x + (10 * x + 2x * x)) = 0 X(-90 + -18x + (10x + 2x2)) = 0 Combine like terms: -18x + 10x = -8x X(-90 + -8x + 2x2) = 0 (-90 * X + -8x * X + 2x2 * X) = 0 (-90X + -8xX + 2x2X) = 0 Solving -90X + -8xX + 2x2X = 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), '2X'. 2X(-45 + -4x + x2) = 0 Factor a trinomial. 2X((-5 + -1x)(9 + -1x)) = 0 Ignore the factor 2.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 + -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.Subproblem 3
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Add 'x' to each side of the equation. -1x + x = -9 + x Combine like terms: -1x + x = 0 0 = -9 + x Simplifying 0 = -9 + 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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