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Simplifying 5y2 + -3y2 = 72y + 9y Combine like terms: 5y2 + -3y2 = 2y2 2y2 = 72y + 9y Combine like terms: 72y + 9y = 81y 2y2 = 81y Solving 2y2 = 81y Solving for variable 'y'. Reorder the terms: -81y + 2y2 = 81y + -81y Combine like terms: 81y + -81y = 0 -81y + 2y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(-81 + 2y) = 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 '(-81 + 2y)' equal to zero and attempt to solve: Simplifying -81 + 2y = 0 Solving -81 + 2y = 0 Move all terms containing y to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 2y = 0 + 81 Combine like terms: -81 + 81 = 0 0 + 2y = 0 + 81 2y = 0 + 81 Combine like terms: 0 + 81 = 81 2y = 81 Divide each side by '2'. y = 40.5 Simplifying y = 40.5Solution
y = {0, 40.5}
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