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Simplifying 1600 = (x)(x + 60) Reorder the terms: 1600 = x(60 + x) 1600 = (60 * x + x * x) 1600 = (60x + x2) Solving 1600 = 60x + x2 Solving for variable 'x'. Reorder the terms: 1600 + -60x + -1x2 = 60x + -60x + x2 + -1x2 Combine like terms: 60x + -60x = 0 1600 + -60x + -1x2 = 0 + x2 + -1x2 1600 + -60x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 1600 + -60x + -1x2 = 0 Factor a trinomial. (20 + -1x)(80 + x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(80 + x)' equal to zero and attempt to solve: Simplifying 80 + x = 0 Solving 80 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-80' to each side of the equation. 80 + -80 + x = 0 + -80 Combine like terms: 80 + -80 = 0 0 + x = 0 + -80 x = 0 + -80 Combine like terms: 0 + -80 = -80 x = -80 Simplifying x = -80Solution
x = {20, -80}
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