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Simplifying 200x + -1x2 = 5x + 8100 Reorder the terms: 200x + -1x2 = 8100 + 5x Solving 200x + -1x2 = 8100 + 5x Solving for variable 'x'. Reorder the terms: -8100 + 200x + -5x + -1x2 = 8100 + 5x + -8100 + -5x Combine like terms: 200x + -5x = 195x -8100 + 195x + -1x2 = 8100 + 5x + -8100 + -5x Reorder the terms: -8100 + 195x + -1x2 = 8100 + -8100 + 5x + -5x Combine like terms: 8100 + -8100 = 0 -8100 + 195x + -1x2 = 0 + 5x + -5x -8100 + 195x + -1x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -8100 + 195x + -1x2 = 0 Factor a trinomial. (-135 + x)(60 + -1x) = 0Subproblem 1
Set the factor '(-135 + x)' equal to zero and attempt to solve: Simplifying -135 + x = 0 Solving -135 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '135' to each side of the equation. -135 + 135 + x = 0 + 135 Combine like terms: -135 + 135 = 0 0 + x = 0 + 135 x = 0 + 135 Combine like terms: 0 + 135 = 135 x = 135 Simplifying x = 135Subproblem 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 = {135, 60}
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