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