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Simplifying 2x2 + -6x + 11 = x2 + x + -1 Reorder the terms: 11 + -6x + 2x2 = x2 + x + -1 Reorder the terms: 11 + -6x + 2x2 = -1 + x + x2 Solving 11 + -6x + 2x2 = -1 + x + x2 Solving for variable 'x'. Reorder the terms: 11 + 1 + -6x + -1x + 2x2 + -1x2 = -1 + x + x2 + 1 + -1x + -1x2 Combine like terms: 11 + 1 = 12 12 + -6x + -1x + 2x2 + -1x2 = -1 + x + x2 + 1 + -1x + -1x2 Combine like terms: -6x + -1x = -7x 12 + -7x + 2x2 + -1x2 = -1 + x + x2 + 1 + -1x + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 12 + -7x + 1x2 = -1 + x + x2 + 1 + -1x + -1x2 Reorder the terms: 12 + -7x + 1x2 = -1 + 1 + x + -1x + x2 + -1x2 Combine like terms: -1 + 1 = 0 12 + -7x + 1x2 = 0 + x + -1x + x2 + -1x2 12 + -7x + 1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 12 + -7x + 1x2 = 0 + x2 + -1x2 12 + -7x + 1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + -7x + 1x2 = 0 Factor a trinomial. (3 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {3, 4}
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