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Simplifying 0 = 9y2 + -58y Reorder the terms: 0 = -58y + 9y2 Solving 0 = -58y + 9y2 Solving for variable 'y'. Remove the zero: 58y + -9y2 = -58y + 9y2 + 58y + -9y2 Reorder the terms: 58y + -9y2 = -58y + 58y + 9y2 + -9y2 Combine like terms: -58y + 58y = 0 58y + -9y2 = 0 + 9y2 + -9y2 58y + -9y2 = 9y2 + -9y2 Combine like terms: 9y2 + -9y2 = 0 58y + -9y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(58 + -9y) = 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 '(58 + -9y)' equal to zero and attempt to solve: Simplifying 58 + -9y = 0 Solving 58 + -9y = 0 Move all terms containing y to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -9y = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -9y = 0 + -58 -9y = 0 + -58 Combine like terms: 0 + -58 = -58 -9y = -58 Divide each side by '-9'. y = 6.444444444 Simplifying y = 6.444444444Solution
y = {0, 6.444444444}
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