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Simplifying 0 = x2 + 5x + -14 Reorder the terms: 0 = -14 + 5x + x2 Solving 0 = -14 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 14 = 14 14 + -5x + -1x2 = -14 + 5x + x2 + 14 + -5x + -1x2 Reorder the terms: 14 + -5x + -1x2 = -14 + 14 + 5x + -5x + x2 + -1x2 Combine like terms: -14 + 14 = 0 14 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 14 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 14 + -5x + -1x2 = 0 + x2 + -1x2 14 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 14 + -5x + -1x2 = 0 Factor a trinomial. (2 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {2, -7}
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