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Simplifying 66 + -1x2 + x = 10 Reorder the terms: 66 + x + -1x2 = 10 Solving 66 + x + -1x2 = 10 Solving for variable 'x'. Reorder the terms: 66 + -10 + x + -1x2 = 10 + -10 Combine like terms: 66 + -10 = 56 56 + x + -1x2 = 10 + -10 Combine like terms: 10 + -10 = 0 56 + x + -1x2 = 0 Factor a trinomial. (8 + -1x)(7 + x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {8, -7}
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