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Simplifying -3y2(-6y2 + -2) = 0 Reorder the terms: -3y2(-2 + -6y2) = 0 (-2 * -3y2 + -6y2 * -3y2) = 0 (6y2 + 18y4) = 0 Solving 6y2 + 18y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '6y2'. 6y2(1 + 3y2) = 0 Ignore the factor 6.Subproblem 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 '(1 + 3y2)' equal to zero and attempt to solve: Simplifying 1 + 3y2 = 0 Solving 1 + 3y2 = 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 + 3y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3y2 = 0 + -1 3y2 = 0 + -1 Combine like terms: 0 + -1 = -1 3y2 = -1 Divide each side by '3'. y2 = -0.3333333333 Simplifying y2 = -0.3333333333 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
y = {0}
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