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Simplifying 48y2 = -6y Solving 48y2 = -6y Solving for variable 'y'. Reorder the terms: 6y + 48y2 = -6y + 6y Combine like terms: -6y + 6y = 0 6y + 48y2 = 0 Factor out the Greatest Common Factor (GCF), '6y'. 6y(1 + 8y) = 0 Ignore the factor 6.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 + 8y)' equal to zero and attempt to solve: Simplifying 1 + 8y = 0 Solving 1 + 8y = 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 + 8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8y = 0 + -1 8y = 0 + -1 Combine like terms: 0 + -1 = -1 8y = -1 Divide each side by '8'. y = -0.125 Simplifying y = -0.125Solution
y = {0, -0.125}
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