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Simplifying 2y(8y + -9) = 0 Reorder the terms: 2y(-9 + 8y) = 0 (-9 * 2y + 8y * 2y) = 0 (-18y + 16y2) = 0 Solving -18y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-9 + 8y) = 0 Ignore the factor 2.Subproblem 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 '(-9 + 8y)' equal to zero and attempt to solve: Simplifying -9 + 8y = 0 Solving -9 + 8y = 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 + 8y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8y = 0 + 9 8y = 0 + 9 Combine like terms: 0 + 9 = 9 8y = 9 Divide each side by '8'. y = 1.125 Simplifying y = 1.125Solution
y = {0, 1.125}
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