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Simplifying 14x = x2 + -15 Reorder the terms: 14x = -15 + x2 Solving 14x = -15 + x2 Solving for variable 'x'. Reorder the terms: 15 + 14x + -1x2 = -15 + x2 + 15 + -1x2 Reorder the terms: 15 + 14x + -1x2 = -15 + 15 + x2 + -1x2 Combine like terms: -15 + 15 = 0 15 + 14x + -1x2 = 0 + x2 + -1x2 15 + 14x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + 14x + -1x2 = 0 Factor a trinomial. (15 + -1x)(1 + x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Solution
x = {15, -1}
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