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Simplifying x2 + -180x + 5184 = 0 Reorder the terms: 5184 + -180x + x2 = 0 Solving 5184 + -180x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (36 + -1x)(144 + -1x) = 0Subproblem 1
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 = 36Subproblem 2
Set the factor '(144 + -1x)' equal to zero and attempt to solve: Simplifying 144 + -1x = 0 Solving 144 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-144' to each side of the equation. 144 + -144 + -1x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + -1x = 0 + -144 -1x = 0 + -144 Combine like terms: 0 + -144 = -144 -1x = -144 Divide each side by '-1'. x = 144 Simplifying x = 144Solution
x = {36, 144}
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