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Simplifying 243y2 + 180y + -375 = 0 Reorder the terms: -375 + 180y + 243y2 = 0 Solving -375 + 180y + 243y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3'. 3(-125 + 60y + 81y2) = 0 Factor a trinomial. 3((-5 + -3y)(25 + -27y)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -3y)' equal to zero and attempt to solve: Simplifying -5 + -3y = 0 Solving -5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -3y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3y = 0 + 5 -3y = 0 + 5 Combine like terms: 0 + 5 = 5 -3y = 5 Divide each side by '-3'. y = -1.666666667 Simplifying y = -1.666666667Subproblem 2
Set the factor '(25 + -27y)' equal to zero and attempt to solve: Simplifying 25 + -27y = 0 Solving 25 + -27y = 0 Move all terms containing y to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -27y = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -27y = 0 + -25 -27y = 0 + -25 Combine like terms: 0 + -25 = -25 -27y = -25 Divide each side by '-27'. y = 0.9259259259 Simplifying y = 0.9259259259Solution
y = {-1.666666667, 0.9259259259}
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