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Simplifying 2x2 + -40x = 3000 Reorder the terms: -40x + 2x2 = 3000 Solving -40x + 2x2 = 3000 Solving for variable 'x'. Reorder the terms: -3000 + -40x + 2x2 = 3000 + -3000 Combine like terms: 3000 + -3000 = 0 -3000 + -40x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1500 + -20x + x2) = 0 Factor a trinomial. 2((-30 + -1x)(50 + -1x)) = 0 Ignore the factor 2.Subproblem 1
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 = -30Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {-30, 50}
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