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Simplifying 520 = x2 + 27x Reorder the terms: 520 = 27x + x2 Solving 520 = 27x + x2 Solving for variable 'x'. Reorder the terms: 520 + -27x + -1x2 = 27x + -27x + x2 + -1x2 Combine like terms: 27x + -27x = 0 520 + -27x + -1x2 = 0 + x2 + -1x2 520 + -27x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 520 + -27x + -1x2 = 0 Factor a trinomial. (13 + -1x)(40 + x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(40 + x)' equal to zero and attempt to solve: Simplifying 40 + x = 0 Solving 40 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + x = 0 + -40 x = 0 + -40 Combine like terms: 0 + -40 = -40 x = -40 Simplifying x = -40Solution
x = {13, -40}
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