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Simplifying 0 = 4y2 + -45y + 99 Reorder the terms: 0 = 99 + -45y + 4y2 Solving 0 = 99 + -45y + 4y2 Solving for variable 'y'. Combine like terms: 0 + -99 = -99 -99 + 45y + -4y2 = 99 + -45y + 4y2 + -99 + 45y + -4y2 Reorder the terms: -99 + 45y + -4y2 = 99 + -99 + -45y + 45y + 4y2 + -4y2 Combine like terms: 99 + -99 = 0 -99 + 45y + -4y2 = 0 + -45y + 45y + 4y2 + -4y2 -99 + 45y + -4y2 = -45y + 45y + 4y2 + -4y2 Combine like terms: -45y + 45y = 0 -99 + 45y + -4y2 = 0 + 4y2 + -4y2 -99 + 45y + -4y2 = 4y2 + -4y2 Combine like terms: 4y2 + -4y2 = 0 -99 + 45y + -4y2 = 0 Factor a trinomial. (-33 + 4y)(3 + -1y) = 0Subproblem 1
Set the factor '(-33 + 4y)' equal to zero and attempt to solve: Simplifying -33 + 4y = 0 Solving -33 + 4y = 0 Move all terms containing y to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4y = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4y = 0 + 33 4y = 0 + 33 Combine like terms: 0 + 33 = 33 4y = 33 Divide each side by '4'. y = 8.25 Simplifying y = 8.25Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {8.25, 3}
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