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Simplifying (15 + -1x)(18 + -1x) = 154 Multiply (15 + -1x) * (18 + -1x) (15(18 + -1x) + -1x * (18 + -1x)) = 154 ((18 * 15 + -1x * 15) + -1x * (18 + -1x)) = 154 ((270 + -15x) + -1x * (18 + -1x)) = 154 (270 + -15x + (18 * -1x + -1x * -1x)) = 154 (270 + -15x + (-18x + 1x2)) = 154 Combine like terms: -15x + -18x = -33x (270 + -33x + 1x2) = 154 Solving 270 + -33x + 1x2 = 154 Solving for variable 'x'. Reorder the terms: 270 + -154 + -33x + 1x2 = 154 + -154 Combine like terms: 270 + -154 = 116 116 + -33x + 1x2 = 154 + -154 Combine like terms: 154 + -154 = 0 116 + -33x + 1x2 = 0 Factor a trinomial. (4 + -1x)(29 + -1x) = 0Subproblem 1
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 = 4Subproblem 2
Set the factor '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29Solution
x = {4, 29}
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