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Simplifying 4y2 + 27y + -900 = 0 Reorder the terms: -900 + 27y + 4y2 = 0 Solving -900 + 27y + 4y2 = 0 Solving for variable 'y'. Factor a trinomial. (-75 + -4y)(12 + -1y) = 0Subproblem 1
Set the factor '(-75 + -4y)' equal to zero and attempt to solve: Simplifying -75 + -4y = 0 Solving -75 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '75' to each side of the equation. -75 + 75 + -4y = 0 + 75 Combine like terms: -75 + 75 = 0 0 + -4y = 0 + 75 -4y = 0 + 75 Combine like terms: 0 + 75 = 75 -4y = 75 Divide each side by '-4'. y = -18.75 Simplifying y = -18.75Subproblem 2
Set the factor '(12 + -1y)' equal to zero and attempt to solve: Simplifying 12 + -1y = 0 Solving 12 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1y = 0 + -12 -1y = 0 + -12 Combine like terms: 0 + -12 = -12 -1y = -12 Divide each side by '-1'. y = 12 Simplifying y = 12Solution
y = {-18.75, 12}
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