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Simplifying 140 = x2 + 26x + 140 Reorder the terms: 140 = 140 + 26x + x2 Add '-140' to each side of the equation. 140 + -140 = 140 + 26x + -140 + x2 Combine like terms: 140 + -140 = 0 0 = 140 + 26x + -140 + x2 Reorder the terms: 0 = 140 + -140 + 26x + x2 Combine like terms: 140 + -140 = 0 0 = 0 + 26x + x2 0 = 26x + x2 Solving 0 = 26x + x2 Solving for variable 'x'. Remove the zero: -26x + -1x2 = 26x + x2 + -26x + -1x2 Reorder the terms: -26x + -1x2 = 26x + -26x + x2 + -1x2 Combine like terms: 26x + -26x = 0 -26x + -1x2 = 0 + x2 + -1x2 -26x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -26x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), '-1x'. -1x(26 + x) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(26 + x)' equal to zero and attempt to solve: Simplifying 26 + x = 0 Solving 26 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x = 0 + -26 x = 0 + -26 Combine like terms: 0 + -26 = -26 x = -26 Simplifying x = -26Solution
x = {0, -26}
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