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Simplifying (x + -3)(x + 5) = -7 Reorder the terms: (-3 + x)(x + 5) = -7 Reorder the terms: (-3 + x)(5 + x) = -7 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x)) = -7 ((5 * -3 + x * -3) + x(5 + x)) = -7 ((-15 + -3x) + x(5 + x)) = -7 (-15 + -3x + (5 * x + x * x)) = -7 (-15 + -3x + (5x + x2)) = -7 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2) = -7 Solving -15 + 2x + x2 = -7 Solving for variable 'x'. Reorder the terms: -15 + 7 + 2x + x2 = -7 + 7 Combine like terms: -15 + 7 = -8 -8 + 2x + x2 = -7 + 7 Combine like terms: -7 + 7 = 0 -8 + 2x + x2 = 0 Factor a trinomial. (-4 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-4, 2}
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