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Simplifying 8y2 + 18y + -45 = 0 Reorder the terms: -45 + 18y + 8y2 = 0 Solving -45 + 18y + 8y2 = 0 Solving for variable 'y'. Factor a trinomial. (-15 + -4y)(3 + -2y) = 0Subproblem 1
Set the factor '(-15 + -4y)' equal to zero and attempt to solve: Simplifying -15 + -4y = 0 Solving -15 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -4y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -4y = 0 + 15 -4y = 0 + 15 Combine like terms: 0 + 15 = 15 -4y = 15 Divide each side by '-4'. y = -3.75 Simplifying y = -3.75Subproblem 2
Set the factor '(3 + -2y)' equal to zero and attempt to solve: Simplifying 3 + -2y = 0 Solving 3 + -2y = 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 + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2y = 0 + -3 -2y = 0 + -3 Combine like terms: 0 + -3 = -3 -2y = -3 Divide each side by '-2'. y = 1.5 Simplifying y = 1.5Solution
y = {-3.75, 1.5}
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