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Simplifying (x + 5)(x + -1) = 280 Reorder the terms: (5 + x)(x + -1) = 280 Reorder the terms: (5 + x)(-1 + x) = 280 Multiply (5 + x) * (-1 + x) (5(-1 + x) + x(-1 + x)) = 280 ((-1 * 5 + x * 5) + x(-1 + x)) = 280 ((-5 + 5x) + x(-1 + x)) = 280 (-5 + 5x + (-1 * x + x * x)) = 280 (-5 + 5x + (-1x + x2)) = 280 Combine like terms: 5x + -1x = 4x (-5 + 4x + x2) = 280 Solving -5 + 4x + x2 = 280 Solving for variable 'x'. Reorder the terms: -5 + -280 + 4x + x2 = 280 + -280 Combine like terms: -5 + -280 = -285 -285 + 4x + x2 = 280 + -280 Combine like terms: 280 + -280 = 0 -285 + 4x + x2 = 0 Factor a trinomial. (-19 + -1x)(15 + -1x) = 0Subproblem 1
Set the factor '(-19 + -1x)' equal to zero and attempt to solve: Simplifying -19 + -1x = 0 Solving -19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + -1x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = 0 + 19 -1x = 0 + 19 Combine like terms: 0 + 19 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19Subproblem 2
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 = 15Solution
x = {-19, 15}
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