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Simplifying 8y + (8y * 8y) = 0 Reorder the terms for easier multiplication: 8y + (8 * 8y * y) = 0 Multiply 8 * 8 8y + (64y * y) = 0 Multiply y * y 8y + (64y2) = 0 Solving 8y + (64y2) = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '8y'. 8y(1 + (8y)) = 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 + (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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