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Simplifying x2 + 300x + -21600 = 0 Reorder the terms: -21600 + 300x + x2 = 0 Solving -21600 + 300x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-360 + -1x)(60 + -1x) = 0Subproblem 1
Set the factor '(-360 + -1x)' equal to zero and attempt to solve: Simplifying -360 + -1x = 0 Solving -360 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '360' to each side of the equation. -360 + 360 + -1x = 0 + 360 Combine like terms: -360 + 360 = 0 0 + -1x = 0 + 360 -1x = 0 + 360 Combine like terms: 0 + 360 = 360 -1x = 360 Divide each side by '-1'. x = -360 Simplifying x = -360Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve: Simplifying 60 + -1x = 0 Solving 60 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + -60 + -1x = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 0 + -60 -1x = 0 + -60 Combine like terms: 0 + -60 = -60 -1x = -60 Divide each side by '-1'. x = 60 Simplifying x = 60Solution
x = {-360, 60}
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