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Simplifying 64y3 + -1y = 0 Reorder the terms: -1y + 64y3 = 0 Solving -1y + 64y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-1 + 64y2) = 0 Factor a difference between two squares. y((1 + 8y)(-1 + 8y)) = 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 '(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 = -0.125Subproblem 3
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, 0.125}
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