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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. (144 + x)(36 + x) = 0Subproblem 1
Set the factor '(144 + x)' equal to zero and attempt to solve: Simplifying 144 + x = 0 Solving 144 + x = 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 + x = 0 + -144 Combine like terms: 144 + -144 = 0 0 + x = 0 + -144 x = 0 + -144 Combine like terms: 0 + -144 = -144 x = -144 Simplifying x = -144Subproblem 2
Set the factor '(36 + x)' equal to zero and attempt to solve: Simplifying 36 + x = 0 Solving 36 + x = 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 + x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + x = 0 + -36 x = 0 + -36 Combine like terms: 0 + -36 = -36 x = -36 Simplifying x = -36Solution
x = {-144, -36}
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