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Simplifying 6y2 = -47y Solving 6y2 = -47y Solving for variable 'y'. Reorder the terms: 47y + 6y2 = -47y + 47y Combine like terms: -47y + 47y = 0 47y + 6y2 = 0 Factor out the Greatest Common Factor (GCF), 'y'. y(47 + 6y) = 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 '(47 + 6y)' equal to zero and attempt to solve: Simplifying 47 + 6y = 0 Solving 47 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + 6y = 0 + -47 Combine like terms: 47 + -47 = 0 0 + 6y = 0 + -47 6y = 0 + -47 Combine like terms: 0 + -47 = -47 6y = -47 Divide each side by '6'. y = -7.833333333 Simplifying y = -7.833333333Solution
y = {0, -7.833333333}
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