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Simplifying -7x + 5 = x2 + -11x + -7 Reorder the terms: 5 + -7x = x2 + -11x + -7 Reorder the terms: 5 + -7x = -7 + -11x + x2 Solving 5 + -7x = -7 + -11x + x2 Solving for variable 'x'. Reorder the terms: 5 + 7 + -7x + 11x + -1x2 = -7 + -11x + x2 + 7 + 11x + -1x2 Combine like terms: 5 + 7 = 12 12 + -7x + 11x + -1x2 = -7 + -11x + x2 + 7 + 11x + -1x2 Combine like terms: -7x + 11x = 4x 12 + 4x + -1x2 = -7 + -11x + x2 + 7 + 11x + -1x2 Reorder the terms: 12 + 4x + -1x2 = -7 + 7 + -11x + 11x + x2 + -1x2 Combine like terms: -7 + 7 = 0 12 + 4x + -1x2 = 0 + -11x + 11x + x2 + -1x2 12 + 4x + -1x2 = -11x + 11x + x2 + -1x2 Combine like terms: -11x + 11x = 0 12 + 4x + -1x2 = 0 + x2 + -1x2 12 + 4x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 12 + 4x + -1x2 = 0 Factor a trinomial. (6 + -1x)(2 + x) = 0Subproblem 1
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 = 6Subproblem 2
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {6, -2}
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