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Simplifying x(x + 5) + -3(x + 5) = 0 Reorder the terms: x(5 + x) + -3(x + 5) = 0 (5 * x + x * x) + -3(x + 5) = 0 (5x + x2) + -3(x + 5) = 0 Reorder the terms: 5x + x2 + -3(5 + x) = 0 5x + x2 + (5 * -3 + x * -3) = 0 5x + x2 + (-15 + -3x) = 0 Reorder the terms: -15 + 5x + -3x + x2 = 0 Combine like terms: 5x + -3x = 2x -15 + 2x + x2 = 0 Solving -15 + 2x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -1x)(3 + -1x) = 0Subproblem 1
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 2
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 = {-5, 3}
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