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Simplifying -8y2 + 3y + 675 = 0 Reorder the terms: 675 + 3y + -8y2 = 0 Solving 675 + 3y + -8y2 = 0 Solving for variable 'y'. Factor a trinomial. (75 + -8y)(9 + y) = 0Subproblem 1
Set the factor '(75 + -8y)' equal to zero and attempt to solve: Simplifying 75 + -8y = 0 Solving 75 + -8y = 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 + -8y = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -8y = 0 + -75 -8y = 0 + -75 Combine like terms: 0 + -75 = -75 -8y = -75 Divide each side by '-8'. y = 9.375 Simplifying y = 9.375Subproblem 2
Set the factor '(9 + y)' equal to zero and attempt to solve: Simplifying 9 + y = 0 Solving 9 + y = 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 + y = 0 + -9 Combine like terms: 9 + -9 = 0 0 + y = 0 + -9 y = 0 + -9 Combine like terms: 0 + -9 = -9 y = -9 Simplifying y = -9Solution
y = {9.375, -9}
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