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Simplifying (25 + -1x)(45 + -1x) = 525 Multiply (25 + -1x) * (45 + -1x) (25(45 + -1x) + -1x * (45 + -1x)) = 525 ((45 * 25 + -1x * 25) + -1x * (45 + -1x)) = 525 ((1125 + -25x) + -1x * (45 + -1x)) = 525 (1125 + -25x + (45 * -1x + -1x * -1x)) = 525 (1125 + -25x + (-45x + 1x2)) = 525 Combine like terms: -25x + -45x = -70x (1125 + -70x + 1x2) = 525 Solving 1125 + -70x + 1x2 = 525 Solving for variable 'x'. Reorder the terms: 1125 + -525 + -70x + 1x2 = 525 + -525 Combine like terms: 1125 + -525 = 600 600 + -70x + 1x2 = 525 + -525 Combine like terms: 525 + -525 = 0 600 + -70x + 1x2 = 0 Factor a trinomial. (10 + -1x)(60 + -1x) = 0Subproblem 1
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 = 10Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {10, 60}
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