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Simplifying x2 + 7x = 540 Reorder the terms: 7x + x2 = 540 Solving 7x + x2 = 540 Solving for variable 'x'. Reorder the terms: -540 + 7x + x2 = 540 + -540 Combine like terms: 540 + -540 = 0 -540 + 7x + x2 = 0 Factor a trinomial. (-27 + -1x)(20 + -1x) = 0Subproblem 1
Set the factor '(-27 + -1x)' equal to zero and attempt to solve: Simplifying -27 + -1x = 0 Solving -27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -1x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + -1x = 0 + 27 -1x = 0 + 27 Combine like terms: 0 + 27 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27Subproblem 2
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 = 20Solution
x = {-27, 20}
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