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Simplifying 9x + -1(x2 + -2x + 7x + -14) = 2 Reorder the terms: 9x + -1(-14 + -2x + 7x + x2) = 2 Combine like terms: -2x + 7x = 5x 9x + -1(-14 + 5x + x2) = 2 9x + (-14 * -1 + 5x * -1 + x2 * -1) = 2 9x + (14 + -5x + -1x2) = 2 Reorder the terms: 14 + 9x + -5x + -1x2 = 2 Combine like terms: 9x + -5x = 4x 14 + 4x + -1x2 = 2 Solving 14 + 4x + -1x2 = 2 Solving for variable 'x'. Reorder the terms: 14 + -2 + 4x + -1x2 = 2 + -2 Combine like terms: 14 + -2 = 12 12 + 4x + -1x2 = 2 + -2 Combine like terms: 2 + -2 = 0 12 + 4x + -1x2 = 0 Factor a trinomial. (6 + -1x)(2 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {6, -2}
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