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Simplifying 2y2 + -100y + 1200 = 0 Reorder the terms: 1200 + -100y + 2y2 = 0 Solving 1200 + -100y + 2y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2'. 2(600 + -50y + y2) = 0 Factor a trinomial. 2((20 + -1y)(30 + -1y)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(20 + -1y)' equal to zero and attempt to solve: Simplifying 20 + -1y = 0 Solving 20 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1y = 0 + -20 -1y = 0 + -20 Combine like terms: 0 + -20 = -20 -1y = -20 Divide each side by '-1'. y = 20 Simplifying y = 20Subproblem 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 = {20, 30}
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