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Simplifying 2y(8y2 + -3) = 0 Reorder the terms: 2y(-3 + 8y2) = 0 (-3 * 2y + 8y2 * 2y) = 0 (-6y + 16y3) = 0 Solving -6y + 16y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y'. 2y(-3 + 8y2) = 0 Ignore the factor 2.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 '(-3 + 8y2)' equal to zero and attempt to solve: Simplifying -3 + 8y2 = 0 Solving -3 + 8y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 8y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8y2 = 0 + 3 8y2 = 0 + 3 Combine like terms: 0 + 3 = 3 8y2 = 3 Divide each side by '8'. y2 = 0.375 Simplifying y2 = 0.375 Take the square root of each side: y = {-0.612372436, 0.612372436}Solution
y = {0, -0.612372436, 0.612372436}
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