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Simplifying -1(x + 3)(2x + 5) = 0 Reorder the terms: -1(3 + x)(2x + 5) = 0 Reorder the terms: -1(3 + x)(5 + 2x) = 0 Multiply (3 + x) * (5 + 2x) -1(3(5 + 2x) + x(5 + 2x)) = 0 -1((5 * 3 + 2x * 3) + x(5 + 2x)) = 0 -1((15 + 6x) + x(5 + 2x)) = 0 -1(15 + 6x + (5 * x + 2x * x)) = 0 -1(15 + 6x + (5x + 2x2)) = 0 Combine like terms: 6x + 5x = 11x -1(15 + 11x + 2x2) = 0 (15 * -1 + 11x * -1 + 2x2 * -1) = 0 (-15 + -11x + -2x2) = 0 Solving -15 + -11x + -2x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 11x + 2x2) = 0 Factor a trinomial. -1((3 + x)(5 + 2x)) = 0 Ignore the factor -1.Subproblem 1
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 = -3Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {-3, -2.5}
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