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Simplifying x2 + 65x + -66 = 0 Reorder the terms: -66 + 65x + x2 = 0 Solving -66 + 65x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-66 + -1x)(1 + -1x) = 0Subproblem 1
Set the factor '(-66 + -1x)' equal to zero and attempt to solve: Simplifying -66 + -1x = 0 Solving -66 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '66' to each side of the equation. -66 + 66 + -1x = 0 + 66 Combine like terms: -66 + 66 = 0 0 + -1x = 0 + 66 -1x = 0 + 66 Combine like terms: 0 + 66 = 66 -1x = 66 Divide each side by '-1'. x = -66 Simplifying x = -66Subproblem 2
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 = 1Solution
x = {-66, 1}
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