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Simplifying 7y + -8y2 + 9y = 0 Reorder the terms: 7y + 9y + -8y2 = 0 Combine like terms: 7y + 9y = 16y 16y + -8y2 = 0 Solving 16y + -8y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(2 + -1y) = 0 Ignore the factor 8.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 '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2Solution
y = {0, 2}
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