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Simplifying (2y * 2y) + (y * y * y) = 0 Reorder the terms for easier multiplication: (2 * 2y * y) + (y * y * y) = 0 Multiply 2 * 2 (4y * y) + (y * y * y) = 0 Multiply y * y (4y2) + (y * y * y) = 0 Multiply y * y (4y2) + (y2 * y) = 0 Multiply y2 * y (4y2) + (y3) = 0 (4y2) + y3 = 0 Solving (4y2) + y3 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2'. y2(4 + y) = 0Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(4 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {0, -4}
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