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Simplifying x2 + -2x + 6 + -1(2x + 11) = 0 Reorder the terms: x2 + -2x + 6 + -1(11 + 2x) = 0 x2 + -2x + 6 + (11 * -1 + 2x * -1) = 0 x2 + -2x + 6 + (-11 + -2x) = 0 Reorder the terms: 6 + -11 + -2x + -2x + x2 = 0 Combine like terms: 6 + -11 = -5 -5 + -2x + -2x + x2 = 0 Combine like terms: -2x + -2x = -4x -5 + -4x + x2 = 0 Solving -5 + -4x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + -1x)(5 + -1x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1, 5}
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