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Simplifying x2 + 6x = x + 14 Reorder the terms: 6x + x2 = x + 14 Reorder the terms: 6x + x2 = 14 + x Solving 6x + x2 = 14 + x Solving for variable 'x'. Reorder the terms: -14 + 6x + -1x + x2 = 14 + x + -14 + -1x Combine like terms: 6x + -1x = 5x -14 + 5x + x2 = 14 + x + -14 + -1x Reorder the terms: -14 + 5x + x2 = 14 + -14 + x + -1x Combine like terms: 14 + -14 = 0 -14 + 5x + x2 = 0 + x + -1x -14 + 5x + x2 = x + -1x Combine like terms: x + -1x = 0 -14 + 5x + x2 = 0 Factor a trinomial. (-7 + -1x)(2 + -1x) = 0Subproblem 1
Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7Subproblem 2
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 = 2Solution
x = {-7, 2}
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