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Simplifying X(2x + 1)(x + -5) = 0 Reorder the terms: X(1 + 2x)(x + -5) = 0 Reorder the terms: X(1 + 2x)(-5 + x) = 0 Multiply (1 + 2x) * (-5 + x) X(1(-5 + x) + 2x * (-5 + x)) = 0 X((-5 * 1 + x * 1) + 2x * (-5 + x)) = 0 X((-5 + 1x) + 2x * (-5 + x)) = 0 X(-5 + 1x + (-5 * 2x + x * 2x)) = 0 X(-5 + 1x + (-10x + 2x2)) = 0 Combine like terms: 1x + -10x = -9x X(-5 + -9x + 2x2) = 0 (-5 * X + -9x * X + 2x2 * X) = 0 (-5X + -9xX + 2x2X) = 0 Solving -5X + -9xX + 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), 'X'. X(-5 + -9x + 2x2) = 0 Factor a trinomial. X((-1 + -2x)(5 + -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 '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Add '2x' to each side of the equation. -2x + 2x = 1 + 2x Combine like terms: -2x + 2x = 0 0 = 1 + 2x Simplifying 0 = 1 + 2x 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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