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Simplifying 240x + -3x2 = 4125 Solving 240x + -3x2 = 4125 Solving for variable 'x'. Reorder the terms: -4125 + 240x + -3x2 = 4125 + -4125 Combine like terms: 4125 + -4125 = 0 -4125 + 240x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1375 + 80x + -1x2) = 0 Factor a trinomial. 3((-55 + x)(25 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-55 + x)' equal to zero and attempt to solve: Simplifying -55 + x = 0 Solving -55 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '55' to each side of the equation. -55 + 55 + x = 0 + 55 Combine like terms: -55 + 55 = 0 0 + x = 0 + 55 x = 0 + 55 Combine like terms: 0 + 55 = 55 x = 55 Simplifying x = 55Subproblem 2
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Solution
x = {55, 25}
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