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Simplifying x2 + -30x = 10800 Reorder the terms: -30x + x2 = 10800 Solving -30x + x2 = 10800 Solving for variable 'x'. Reorder the terms: -10800 + -30x + x2 = 10800 + -10800 Combine like terms: 10800 + -10800 = 0 -10800 + -30x + x2 = 0 Factor a trinomial. (-90 + -1x)(120 + -1x) = 0Subproblem 1
Set the factor '(-90 + -1x)' equal to zero and attempt to solve: Simplifying -90 + -1x = 0 Solving -90 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + -1x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + -1x = 0 + 90 -1x = 0 + 90 Combine like terms: 0 + 90 = 90 -1x = 90 Divide each side by '-1'. x = -90 Simplifying x = -90Subproblem 2
Set the factor '(120 + -1x)' equal to zero and attempt to solve: Simplifying 120 + -1x = 0 Solving 120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1x = 0 + -120 -1x = 0 + -120 Combine like terms: 0 + -120 = -120 -1x = -120 Divide each side by '-1'. x = 120 Simplifying x = 120Solution
x = {-90, 120}
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