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Simplifying x(20 + 7) = x2 + -280 Combine like terms: 20 + 7 = 27 x(27) = x2 + -280 Reorder the terms for easier multiplication: 27x = x2 + -280 Reorder the terms: 27x = -280 + x2 Solving 27x = -280 + x2 Solving for variable 'x'. Reorder the terms: 280 + 27x + -1x2 = -280 + x2 + 280 + -1x2 Reorder the terms: 280 + 27x + -1x2 = -280 + 280 + x2 + -1x2 Combine like terms: -280 + 280 = 0 280 + 27x + -1x2 = 0 + x2 + -1x2 280 + 27x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 280 + 27x + -1x2 = 0 Factor a trinomial. (35 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(35 + -1x)' equal to zero and attempt to solve: Simplifying 35 + -1x = 0 Solving 35 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -1x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -1x = 0 + -35 -1x = 0 + -35 Combine like terms: 0 + -35 = -35 -1x = -35 Divide each side by '-1'. x = 35 Simplifying x = 35Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {35, -8}
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