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Simplifying (x + -8)(x + 15) = 0 Reorder the terms: (-8 + x)(x + 15) = 0 Reorder the terms: (-8 + x)(15 + x) = 0 Multiply (-8 + x) * (15 + x) (-8(15 + x) + x(15 + x)) = 0 ((15 * -8 + x * -8) + x(15 + x)) = 0 ((-120 + -8x) + x(15 + x)) = 0 (-120 + -8x + (15 * x + x * x)) = 0 (-120 + -8x + (15x + x2)) = 0 Combine like terms: -8x + 15x = 7x (-120 + 7x + x2) = 0 Solving -120 + 7x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-15 + -1x)' equal to zero and attempt to solve: Simplifying -15 + -1x = 0 Solving -15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1x = 0 + 15 -1x = 0 + 15 Combine like terms: 0 + 15 = 15 -1x = 15 Divide each side by '-1'. x = -15 Simplifying x = -15Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-15, 8}
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