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Simplifying 0 = x2 + 12x + -364 Reorder the terms: 0 = -364 + 12x + x2 Solving 0 = -364 + 12x + x2 Solving for variable 'x'. Combine like terms: 0 + 364 = 364 364 + -12x + -1x2 = -364 + 12x + x2 + 364 + -12x + -1x2 Reorder the terms: 364 + -12x + -1x2 = -364 + 364 + 12x + -12x + x2 + -1x2 Combine like terms: -364 + 364 = 0 364 + -12x + -1x2 = 0 + 12x + -12x + x2 + -1x2 364 + -12x + -1x2 = 12x + -12x + x2 + -1x2 Combine like terms: 12x + -12x = 0 364 + -12x + -1x2 = 0 + x2 + -1x2 364 + -12x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 364 + -12x + -1x2 = 0 Factor a trinomial. (14 + -1x)(26 + x) = 0Subproblem 1
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Subproblem 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 = {14, -26}
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