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Simplifying 2x2 = 11x + -14 Reorder the terms: 2x2 = -14 + 11x Solving 2x2 = -14 + 11x Solving for variable 'x'. Reorder the terms: 14 + -11x + 2x2 = -14 + 11x + 14 + -11x Reorder the terms: 14 + -11x + 2x2 = -14 + 14 + 11x + -11x Combine like terms: -14 + 14 = 0 14 + -11x + 2x2 = 0 + 11x + -11x 14 + -11x + 2x2 = 11x + -11x Combine like terms: 11x + -11x = 0 14 + -11x + 2x2 = 0 Factor a trinomial. (2 + -1x)(7 + -2x) = 0Subproblem 1
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Subproblem 2
Set the factor '(7 + -2x)' equal to zero and attempt to solve: Simplifying 7 + -2x = 0 Solving 7 + -2x = 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 + -2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x = 0 + -7 -2x = 0 + -7 Combine like terms: 0 + -7 = -7 -2x = -7 Divide each side by '-2'. x = 3.5 Simplifying x = 3.5Solution
x = {2, 3.5}
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