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Simplifying x2 + -66x + 1080 = 0 Reorder the terms: 1080 + -66x + x2 = 0 Solving 1080 + -66x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (30 + -1x)(36 + -1x) = 0Subproblem 1
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Subproblem 2
Set the factor '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Divide each side by '-1'. x = 36 Simplifying x = 36Solution
x = {30, 36}
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