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Simplifying (x2) + 45x + -1944 = 0 x2 + 45x + -1944 = 0 Reorder the terms: -1944 + 45x + x2 = 0 Solving -1944 + 45x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-72 + -1x)(27 + -1x) = 0Subproblem 1
Set the factor '(-72 + -1x)' equal to zero and attempt to solve: Simplifying -72 + -1x = 0 Solving -72 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '72' to each side of the equation. -72 + 72 + -1x = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -1x = 0 + 72 -1x = 0 + 72 Combine like terms: 0 + 72 = 72 -1x = 72 Divide each side by '-1'. x = -72 Simplifying x = -72Subproblem 2
Set the factor '(27 + -1x)' equal to zero and attempt to solve: Simplifying 27 + -1x = 0 Solving 27 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + -1x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -1x = 0 + -27 -1x = 0 + -27 Combine like terms: 0 + -27 = -27 -1x = -27 Divide each side by '-1'. x = 27 Simplifying x = 27Solution
x = {-72, 27}
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