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Simplifying (x + 35)(x + 18) = 1260 Reorder the terms: (35 + x)(x + 18) = 1260 Reorder the terms: (35 + x)(18 + x) = 1260 Multiply (35 + x) * (18 + x) (35(18 + x) + x(18 + x)) = 1260 ((18 * 35 + x * 35) + x(18 + x)) = 1260 ((630 + 35x) + x(18 + x)) = 1260 (630 + 35x + (18 * x + x * x)) = 1260 (630 + 35x + (18x + x2)) = 1260 Combine like terms: 35x + 18x = 53x (630 + 53x + x2) = 1260 Solving 630 + 53x + x2 = 1260 Solving for variable 'x'. Reorder the terms: 630 + -1260 + 53x + x2 = 1260 + -1260 Combine like terms: 630 + -1260 = -630 -630 + 53x + x2 = 1260 + -1260 Combine like terms: 1260 + -1260 = 0 -630 + 53x + x2 = 0 Factor a trinomial. (-63 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-63 + -1x)' equal to zero and attempt to solve: Simplifying -63 + -1x = 0 Solving -63 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + -1x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + -1x = 0 + 63 -1x = 0 + 63 Combine like terms: 0 + 63 = 63 -1x = 63 Divide each side by '-1'. x = -63 Simplifying x = -63Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-63, 10}
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