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Simplifying x2 + -86x + 1320 = 0 Reorder the terms: 1320 + -86x + x2 = 0 Solving 1320 + -86x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + -1x)(66 + -1x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
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 = 66Solution
x = {20, 66}
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