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Simplifying 3y2 = -20y + 63 Reorder the terms: 3y2 = 63 + -20y Solving 3y2 = 63 + -20y Solving for variable 'y'. Reorder the terms: -63 + 20y + 3y2 = 63 + -20y + -63 + 20y Reorder the terms: -63 + 20y + 3y2 = 63 + -63 + -20y + 20y Combine like terms: 63 + -63 = 0 -63 + 20y + 3y2 = 0 + -20y + 20y -63 + 20y + 3y2 = -20y + 20y Combine like terms: -20y + 20y = 0 -63 + 20y + 3y2 = 0 Factor a trinomial. (-9 + -1y)(7 + -3y) = 0Subproblem 1
Set the factor '(-9 + -1y)' equal to zero and attempt to solve: Simplifying -9 + -1y = 0 Solving -9 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1y = 0 + 9 -1y = 0 + 9 Combine like terms: 0 + 9 = 9 -1y = 9 Divide each side by '-1'. y = -9 Simplifying y = -9Subproblem 2
Set the factor '(7 + -3y)' equal to zero and attempt to solve: Simplifying 7 + -3y = 0 Solving 7 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -3y = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3y = 0 + -7 -3y = 0 + -7 Combine like terms: 0 + -7 = -7 -3y = -7 Divide each side by '-3'. y = 2.333333333 Simplifying y = 2.333333333Solution
y = {-9, 2.333333333}
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