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Simplifying (x2 + 5x)(-1x + -5) = 0 Reorder the terms: (5x + x2)(-1x + -5) = 0 Reorder the terms: (5x + x2)(-5 + -1x) = 0 Multiply (5x + x2) * (-5 + -1x) (5x * (-5 + -1x) + x2(-5 + -1x)) = 0 ((-5 * 5x + -1x * 5x) + x2(-5 + -1x)) = 0 ((-25x + -5x2) + x2(-5 + -1x)) = 0 (-25x + -5x2 + (-5 * x2 + -1x * x2)) = 0 (-25x + -5x2 + (-5x2 + -1x3)) = 0 Combine like terms: -5x2 + -5x2 = -10x2 (-25x + -10x2 + -1x3) = 0 Solving -25x + -10x2 + -1x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1x'. -1x(25 + 10x + x2) = 0 Factor a trinomial. -1x((5 + x)(5 + x)) = 0 Ignore the factor -1.Subproblem 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 Simplifying x = -5Subproblem 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 Simplifying x = -5Solution
x = {0, -5, -5}
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