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Simplifying 144 = (15 + -1x)(22 + -1x) Multiply (15 + -1x) * (22 + -1x) 144 = (15(22 + -1x) + -1x * (22 + -1x)) 144 = ((22 * 15 + -1x * 15) + -1x * (22 + -1x)) 144 = ((330 + -15x) + -1x * (22 + -1x)) 144 = (330 + -15x + (22 * -1x + -1x * -1x)) 144 = (330 + -15x + (-22x + 1x2)) Combine like terms: -15x + -22x = -37x 144 = (330 + -37x + 1x2) Solving 144 = 330 + -37x + 1x2 Solving for variable 'x'. Combine like terms: 144 + -330 = -186 -186 + 37x + -1x2 = 330 + -37x + 1x2 + -330 + 37x + -1x2 Reorder the terms: -186 + 37x + -1x2 = 330 + -330 + -37x + 37x + 1x2 + -1x2 Combine like terms: 330 + -330 = 0 -186 + 37x + -1x2 = 0 + -37x + 37x + 1x2 + -1x2 -186 + 37x + -1x2 = -37x + 37x + 1x2 + -1x2 Combine like terms: -37x + 37x = 0 -186 + 37x + -1x2 = 0 + 1x2 + -1x2 -186 + 37x + -1x2 = 1x2 + -1x2 Combine like terms: 1x2 + -1x2 = 0 -186 + 37x + -1x2 = 0 Factor a trinomial. (-31 + x)(6 + -1x) = 0Subproblem 1
Set the factor '(-31 + x)' equal to zero and attempt to solve: Simplifying -31 + x = 0 Solving -31 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x = 0 + 31 x = 0 + 31 Combine like terms: 0 + 31 = 31 x = 31 Simplifying x = 31Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {31, 6}
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