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Simplifying 1800 = 120y + -2y2 Solving 1800 = 120y + -2y2 Solving for variable 'y'. Reorder the terms: 1800 + -120y + 2y2 = 120y + -120y + -2y2 + 2y2 Combine like terms: 120y + -120y = 0 1800 + -120y + 2y2 = 0 + -2y2 + 2y2 1800 + -120y + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 1800 + -120y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(900 + -60y + y2) = 0 Factor a trinomial. 2((30 + -1y)(30 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Subproblem 2
Set the factor '(30 + -1y)' equal to zero and attempt to solve: Simplifying 30 + -1y = 0 Solving 30 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1y = 0 + -30 -1y = 0 + -30 Combine like terms: 0 + -30 = -30 -1y = -30 Divide each side by '-1'. y = 30 Simplifying y = 30Solution
y = {30, 30}
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