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Simplifying (x + 7)(2 + -1x) + -1x2 + 11 = 0 Reorder the terms: (7 + x)(2 + -1x) + -1x2 + 11 = 0 Multiply (7 + x) * (2 + -1x) (7(2 + -1x) + x(2 + -1x)) + -1x2 + 11 = 0 ((2 * 7 + -1x * 7) + x(2 + -1x)) + -1x2 + 11 = 0 ((14 + -7x) + x(2 + -1x)) + -1x2 + 11 = 0 (14 + -7x + (2 * x + -1x * x)) + -1x2 + 11 = 0 (14 + -7x + (2x + -1x2)) + -1x2 + 11 = 0 Combine like terms: -7x + 2x = -5x (14 + -5x + -1x2) + -1x2 + 11 = 0 Reorder the terms: 14 + 11 + -5x + -1x2 + -1x2 = 0 Combine like terms: 14 + 11 = 25 25 + -5x + -1x2 + -1x2 = 0 Combine like terms: -1x2 + -1x2 = -2x2 25 + -5x + -2x2 = 0 Solving 25 + -5x + -2x2 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -2x)(5 + x) = 0Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {2.5, -5}
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