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Simplifying 2x2 + 40x = 1600 Reorder the terms: 40x + 2x2 = 1600 Solving 40x + 2x2 = 1600 Solving for variable 'x'. Reorder the terms: -1600 + 40x + 2x2 = 1600 + -1600 Combine like terms: 1600 + -1600 = 0 -1600 + 40x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-800 + 20x + x2) = 0 Factor a trinomial. 2((-40 + -1x)(20 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Solution
x = {-40, 20}
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