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Simplifying 0 = 2(x2 + 4x + -77) Reorder the terms: 0 = 2(-77 + 4x + x2) 0 = (-77 * 2 + 4x * 2 + x2 * 2) 0 = (-154 + 8x + 2x2) Solving 0 = -154 + 8x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 154 = 154 154 + -8x + -2x2 = -154 + 8x + 2x2 + 154 + -8x + -2x2 Reorder the terms: 154 + -8x + -2x2 = -154 + 154 + 8x + -8x + 2x2 + -2x2 Combine like terms: -154 + 154 = 0 154 + -8x + -2x2 = 0 + 8x + -8x + 2x2 + -2x2 154 + -8x + -2x2 = 8x + -8x + 2x2 + -2x2 Combine like terms: 8x + -8x = 0 154 + -8x + -2x2 = 0 + 2x2 + -2x2 154 + -8x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 154 + -8x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(77 + -4x + -1x2) = 0 Factor a trinomial. 2((7 + -1x)(11 + 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {7, -11}
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