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Simplifying (x + 15)(x + -5) = 0 Reorder the terms: (15 + x)(x + -5) = 0 Reorder the terms: (15 + x)(-5 + x) = 0 Multiply (15 + x) * (-5 + x) (15(-5 + x) + x(-5 + x)) = 0 ((-5 * 15 + x * 15) + x(-5 + x)) = 0 ((-75 + 15x) + x(-5 + x)) = 0 (-75 + 15x + (-5 * x + x * x)) = 0 (-75 + 15x + (-5x + x2)) = 0 Combine like terms: 15x + -5x = 10x (-75 + 10x + x2) = 0 Solving -75 + 10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-15 + -1x)(5 + -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 '(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 = 5Solution
x = {-15, 5}
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