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Simplifying 266 = (18 + -1x)(15 + x) Multiply (18 + -1x) * (15 + x) 266 = (18(15 + x) + -1x * (15 + x)) 266 = ((15 * 18 + x * 18) + -1x * (15 + x)) 266 = ((270 + 18x) + -1x * (15 + x)) 266 = (270 + 18x + (15 * -1x + x * -1x)) 266 = (270 + 18x + (-15x + -1x2)) Combine like terms: 18x + -15x = 3x 266 = (270 + 3x + -1x2) Solving 266 = 270 + 3x + -1x2 Solving for variable 'x'. Combine like terms: 266 + -270 = -4 -4 + -3x + x2 = 270 + 3x + -1x2 + -270 + -3x + x2 Reorder the terms: -4 + -3x + x2 = 270 + -270 + 3x + -3x + -1x2 + x2 Combine like terms: 270 + -270 = 0 -4 + -3x + x2 = 0 + 3x + -3x + -1x2 + x2 -4 + -3x + x2 = 3x + -3x + -1x2 + x2 Combine like terms: 3x + -3x = 0 -4 + -3x + x2 = 0 + -1x2 + x2 -4 + -3x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -4 + -3x + x2 = 0 Factor a trinomial. (-1 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
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 = 4Solution
x = {-1, 4}
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