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Simplifying 2x2 = 91 + x Solving 2x2 = 91 + x Solving for variable 'x'. Reorder the terms: -91 + -1x + 2x2 = 91 + x + -91 + -1x Reorder the terms: -91 + -1x + 2x2 = 91 + -91 + x + -1x Combine like terms: 91 + -91 = 0 -91 + -1x + 2x2 = 0 + x + -1x -91 + -1x + 2x2 = x + -1x Combine like terms: x + -1x = 0 -91 + -1x + 2x2 = 0 Factor a trinomial. (-13 + -2x)(7 + -1x) = 0Subproblem 1
Set the factor '(-13 + -2x)' equal to zero and attempt to solve: Simplifying -13 + -2x = 0 Solving -13 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -2x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2x = 0 + 13 -2x = 0 + 13 Combine like terms: 0 + 13 = 13 -2x = 13 Divide each side by '-2'. x = -6.5 Simplifying x = -6.5Subproblem 2
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 = 7Solution
x = {-6.5, 7}
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