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Simplifying -75y2 + -90y + -27 = 0 Reorder the terms: -27 + -90y + -75y2 = 0 Solving -27 + -90y + -75y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '-3'. -3(9 + 30y + 25y2) = 0 Factor a trinomial. -3((3 + 5y)(3 + 5y)) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 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 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Subproblem 2
Set the factor '(3 + 5y)' equal to zero and attempt to solve: Simplifying 3 + 5y = 0 Solving 3 + 5y = 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 + 5y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5y = 0 + -3 5y = 0 + -3 Combine like terms: 0 + -3 = -3 5y = -3 Divide each side by '5'. y = -0.6 Simplifying y = -0.6Solution
y = {-0.6, -0.6}
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