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Simplifying (x + 5)(x2 + -3x) = 0 Reorder the terms: (5 + x)(x2 + -3x) = 0 Reorder the terms: (5 + x)(-3x + x2) = 0 Multiply (5 + x) * (-3x + x2) (5(-3x + x2) + x(-3x + x2)) = 0 ((-3x * 5 + x2 * 5) + x(-3x + x2)) = 0 ((-15x + 5x2) + x(-3x + x2)) = 0 (-15x + 5x2 + (-3x * x + x2 * x)) = 0 (-15x + 5x2 + (-3x2 + x3)) = 0 Combine like terms: 5x2 + -3x2 = 2x2 (-15x + 2x2 + x3) = 0 Solving -15x + 2x2 + x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + 2x + x2) = 0 Factor a trinomial. x((-5 + -1x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, -5, 3}
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