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Simplifying 84 = (2x)(x + -1) Remove parenthesis around (2x) 84 = 2x(x + -1) Reorder the terms: 84 = 2x(-1 + x) 84 = (-1 * 2x + x * 2x) 84 = (-2x + 2x2) Solving 84 = -2x + 2x2 Solving for variable 'x'. Reorder the terms: 84 + 2x + -2x2 = -2x + 2x + 2x2 + -2x2 Combine like terms: -2x + 2x = 0 84 + 2x + -2x2 = 0 + 2x2 + -2x2 84 + 2x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 84 + 2x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(42 + x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(6 + x)) = 0 Ignore the factor 2.Subproblem 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {7, -6}
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