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Simplifying 2x + x2 + x2 = 84 Combine like terms: x2 + x2 = 2x2 2x + 2x2 = 84 Solving 2x + 2x2 = 84 Solving for variable 'x'. Reorder the terms: -84 + 2x + 2x2 = 84 + -84 Combine like terms: 84 + -84 = 0 -84 + 2x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-42 + x + x2) = 0 Factor a trinomial. 2((-7 + -1x)(6 + -1x)) = 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 + -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 = 6Solution
x = {-7, 6}
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