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Simplifying X(x + 9)(x + 5) = 0 Reorder the terms: X(9 + x)(x + 5) = 0 Reorder the terms: X(9 + x)(5 + x) = 0 Multiply (9 + x) * (5 + x) X(9(5 + x) + x(5 + x)) = 0 X((5 * 9 + x * 9) + x(5 + x)) = 0 X((45 + 9x) + x(5 + x)) = 0 X(45 + 9x + (5 * x + x * x)) = 0 X(45 + 9x + (5x + x2)) = 0 Combine like terms: 9x + 5x = 14x X(45 + 14x + x2) = 0 (45 * X + 14x * X + x2 * X) = 0 (45X + 14xX + x2X) = 0 Solving 45X + 14xX + 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(45 + 14x + x2) = 0 Factor a trinomial. X((9 + x)(5 + x)) = 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 '(9 + x)' equal to zero and attempt to solve: Simplifying 9 + x = 0 Solving 9 + x = 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 + x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + x = 0 + -9 x = 0 + -9 Combine like terms: 0 + -9 = -9 x = -9 Add '-1x' to each side of the equation. x + -1x = -9 + -1x Combine like terms: x + -1x = 0 0 = -9 + -1x Simplifying 0 = -9 + -1x 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 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Add '-1x' to each side of the equation. x + -1x = -5 + -1x Combine like terms: x + -1x = 0 0 = -5 + -1x Simplifying 0 = -5 + -1x 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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