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Simplifying 48y2 = -8y Solving 48y2 = -8y Solving for variable 'y'. Reorder the terms: 8y + 48y2 = -8y + 8y Combine like terms: -8y + 8y = 0 8y + 48y2 = 0 Factor out the Greatest Common Factor (GCF), '8y'. 8y(1 + 6y) = 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 '(1 + 6y)' equal to zero and attempt to solve: Simplifying 1 + 6y = 0 Solving 1 + 6y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 6y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6y = 0 + -1 6y = 0 + -1 Combine like terms: 0 + -1 = -1 6y = -1 Divide each side by '6'. y = -0.1666666667 Simplifying y = -0.1666666667Solution
y = {0, -0.1666666667}
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