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Simplifying 0 = x2 + 5x + -66 Reorder the terms: 0 = -66 + 5x + x2 Solving 0 = -66 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 66 = 66 66 + -5x + -1x2 = -66 + 5x + x2 + 66 + -5x + -1x2 Reorder the terms: 66 + -5x + -1x2 = -66 + 66 + 5x + -5x + x2 + -1x2 Combine like terms: -66 + 66 = 0 66 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 66 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 66 + -5x + -1x2 = 0 + x2 + -1x2 66 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 66 + -5x + -1x2 = 0 Factor a trinomial. (6 + -1x)(11 + 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 '(11 + x)' equal to zero and attempt to solve: Simplifying 11 + x = 0 Solving 11 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + x = 0 + -11 x = 0 + -11 Combine like terms: 0 + -11 = -11 x = -11 Simplifying x = -11Solution
x = {6, -11}
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