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Simplifying -1(x + 5)(x + 3) = 0 Reorder the terms: -1(5 + x)(x + 3) = 0 Reorder the terms: -1(5 + x)(3 + x) = 0 Multiply (5 + x) * (3 + x) -1(5(3 + x) + x(3 + x)) = 0 -1((3 * 5 + x * 5) + x(3 + x)) = 0 -1((15 + 5x) + x(3 + x)) = 0 -1(15 + 5x + (3 * x + x * x)) = 0 -1(15 + 5x + (3x + x2)) = 0 Combine like terms: 5x + 3x = 8x -1(15 + 8x + x2) = 0 (15 * -1 + 8x * -1 + x2 * -1) = 0 (-15 + -8x + -1x2) = 0 Solving -15 + -8x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 8x + x2) = 0 Factor a trinomial. -1((5 + x)(3 + x)) = 0 Ignore the factor -1.Subproblem 1
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 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {-5, -3}
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