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Simplifying -1x2 + 300x + -8100 = 0 Reorder the terms: -8100 + 300x + -1x2 = 0 Solving -8100 + 300x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-270 + x)(30 + -1x) = 0Subproblem 1
Set the factor '(-270 + x)' equal to zero and attempt to solve: Simplifying -270 + x = 0 Solving -270 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '270' to each side of the equation. -270 + 270 + x = 0 + 270 Combine like terms: -270 + 270 = 0 0 + x = 0 + 270 x = 0 + 270 Combine like terms: 0 + 270 = 270 x = 270 Simplifying x = 270Subproblem 2
Set the factor '(30 + -1x)' equal to zero and attempt to solve: Simplifying 30 + -1x = 0 Solving 30 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1x = 0 + -30 -1x = 0 + -30 Combine like terms: 0 + -30 = -30 -1x = -30 Divide each side by '-1'. x = 30 Simplifying x = 30Solution
x = {270, 30}
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