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Simplifying X(x + 2)(x + 5) = 0 Reorder the terms: X(2 + x)(x + 5) = 0 Reorder the terms: X(2 + x)(5 + x) = 0 Multiply (2 + x) * (5 + x) X(2(5 + x) + x(5 + x)) = 0 X((5 * 2 + x * 2) + x(5 + x)) = 0 X((10 + 2x) + x(5 + x)) = 0 X(10 + 2x + (5 * x + x * x)) = 0 X(10 + 2x + (5x + x2)) = 0 Combine like terms: 2x + 5x = 7x X(10 + 7x + x2) = 0 (10 * X + 7x * X + x2 * X) = 0 (10X + 7xX + x2X) = 0 Solving 10X + 7xX + 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 + 7x + x2) = 0 Factor a trinomial. X((5 + x)(2 + 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 '(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.Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Add '-1x' to each side of the equation. x + -1x = -2 + -1x Combine like terms: x + -1x = 0 0 = -2 + -1x Simplifying 0 = -2 + -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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