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Simplifying 560 = x2 + 8x Reorder the terms: 560 = 8x + x2 Solving 560 = 8x + x2 Solving for variable 'x'. Reorder the terms: 560 + -8x + -1x2 = 8x + -8x + x2 + -1x2 Combine like terms: 8x + -8x = 0 560 + -8x + -1x2 = 0 + x2 + -1x2 560 + -8x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 560 + -8x + -1x2 = 0 Factor a trinomial. (20 + -1x)(28 + 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 '(28 + x)' equal to zero and attempt to solve: Simplifying 28 + x = 0 Solving 28 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + x = 0 + -28 x = 0 + -28 Combine like terms: 0 + -28 = -28 x = -28 Simplifying x = -28Solution
x = {20, -28}
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