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Simplifying 200 = 40y + -2y2 Solving 200 = 40y + -2y2 Solving for variable 'y'. Reorder the terms: 200 + -40y + 2y2 = 40y + -40y + -2y2 + 2y2 Combine like terms: 40y + -40y = 0 200 + -40y + 2y2 = 0 + -2y2 + 2y2 200 + -40y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 200 + -40y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(100 + -20y + y2) = 0 Factor a trinomial. 2((10 + -1y)(10 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Subproblem 2
Set the factor '(10 + -1y)' equal to zero and attempt to solve: Simplifying 10 + -1y = 0 Solving 10 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1y = 0 + -10 -1y = 0 + -10 Combine like terms: 0 + -10 = -10 -1y = -10 Divide each side by '-1'. y = 10 Simplifying y = 10Solution
y = {10, 10}
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