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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. (-60 + -1x)(360 + -1x) = 0Subproblem 1
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 = -60Subproblem 2
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 = 360Solution
x = {-60, 360}
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