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Simplifying 2x2 + 40x = 7000 Reorder the terms: 40x + 2x2 = 7000 Solving 40x + 2x2 = 7000 Solving for variable 'x'. Reorder the terms: -7000 + 40x + 2x2 = 7000 + -7000 Combine like terms: 7000 + -7000 = 0 -7000 + 40x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3500 + 20x + x2) = 0 Factor a trinomial. 2((-70 + -1x)(50 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-70 + -1x)' equal to zero and attempt to solve: Simplifying -70 + -1x = 0 Solving -70 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '70' to each side of the equation. -70 + 70 + -1x = 0 + 70 Combine like terms: -70 + 70 = 0 0 + -1x = 0 + 70 -1x = 0 + 70 Combine like terms: 0 + 70 = 70 -1x = 70 Divide each side by '-1'. x = -70 Simplifying x = -70Subproblem 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 = {-70, 50}
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