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Simplifying 2x2 + -3x = 2700 Reorder the terms: -3x + 2x2 = 2700 Solving -3x + 2x2 = 2700 Solving for variable 'x'. Reorder the terms: -2700 + -3x + 2x2 = 2700 + -2700 Combine like terms: 2700 + -2700 = 0 -2700 + -3x + 2x2 = 0 Factor a trinomial. (-36 + -1x)(75 + -2x) = 0Subproblem 1
Set the factor '(-36 + -1x)' equal to zero and attempt to solve: Simplifying -36 + -1x = 0 Solving -36 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -1x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1x = 0 + 36 -1x = 0 + 36 Combine like terms: 0 + 36 = 36 -1x = 36 Divide each side by '-1'. x = -36 Simplifying x = -36Subproblem 2
Set the factor '(75 + -2x)' equal to zero and attempt to solve: Simplifying 75 + -2x = 0 Solving 75 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -2x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -2x = 0 + -75 -2x = 0 + -75 Combine like terms: 0 + -75 = -75 -2x = -75 Divide each side by '-2'. x = 37.5 Simplifying x = 37.5Solution
x = {-36, 37.5}
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