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Simplifying 16y2 + -24y + 9y = 0 Reorder the terms: -24y + 9y + 16y2 = 0 Combine like terms: -24y + 9y = -15y -15y + 16y2 = 0 Solving -15y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-15 + 16y) = 0Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(-15 + 16y)' equal to zero and attempt to solve: Simplifying -15 + 16y = 0 Solving -15 + 16y = 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 + 16y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 16y = 0 + 15 16y = 0 + 15 Combine like terms: 0 + 15 = 15 16y = 15 Divide each side by '16'. y = 0.9375 Simplifying y = 0.9375Solution
y = {0, 0.9375}
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