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Simplifying (x + 5)(x + 0)(x + -9) = 0 Reorder the terms: (5 + x)(x + 0)(x + -9) = 0 Reorder the terms: (5 + x)(0 + x)(x + -9) = 0 Remove the zero: (5 + x)(x)(x + -9) = 0 Reorder the terms: (5 + x) * x(-9 + x) = 0 Reorder the terms for easier multiplication: x(5 + x)(-9 + x) = 0 Multiply (5 + x) * (-9 + x) x(5(-9 + x) + x(-9 + x)) = 0 x((-9 * 5 + x * 5) + x(-9 + x)) = 0 x((-45 + 5x) + x(-9 + x)) = 0 x(-45 + 5x + (-9 * x + x * x)) = 0 x(-45 + 5x + (-9x + x2)) = 0 Combine like terms: 5x + -9x = -4x x(-45 + -4x + x2) = 0 (-45 * x + -4x * x + x2 * x) = 0 (-45x + -4x2 + x3) = 0 Solving -45x + -4x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-45 + -4x + x2) = 0 Factor a trinomial. x((-5 + -1x)(9 + -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 '(-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 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 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 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {0, -5, 9}
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