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Simplifying (7y2 + -8y) + (9y2 + -1y) = 0 Reorder the terms: (-8y + 7y2) + (9y2 + -1y) = 0 Remove parenthesis around (-8y + 7y2) -8y + 7y2 + (9y2 + -1y) = 0 Reorder the terms: -8y + 7y2 + (-1y + 9y2) = 0 Remove parenthesis around (-1y + 9y2) -8y + 7y2 + -1y + 9y2 = 0 Reorder the terms: -8y + -1y + 7y2 + 9y2 = 0 Combine like terms: -8y + -1y = -9y -9y + 7y2 + 9y2 = 0 Combine like terms: 7y2 + 9y2 = 16y2 -9y + 16y2 = 0 Solving -9y + 16y2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-9 + 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 '(-9 + 16y)' equal to zero and attempt to solve: Simplifying -9 + 16y = 0 Solving -9 + 16y = 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 + 16y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 16y = 0 + 9 16y = 0 + 9 Combine like terms: 0 + 9 = 9 16y = 9 Divide each side by '16'. y = 0.5625 Simplifying y = 0.5625Solution
y = {0, 0.5625}
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