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Simplifying -7y2(-4y3 + 6y) = 0 Reorder the terms: -7y2(6y + -4y3) = 0 (6y * -7y2 + -4y3 * -7y2) = 0 (-42y3 + 28y5) = 0 Solving -42y3 + 28y5 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '14y3'. 14y3(-3 + 2y2) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-3 + 2y2)' equal to zero and attempt to solve: Simplifying -3 + 2y2 = 0 Solving -3 + 2y2 = 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 + 2y2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2y2 = 0 + 3 2y2 = 0 + 3 Combine like terms: 0 + 3 = 3 2y2 = 3 Divide each side by '2'. y2 = 1.5 Simplifying y2 = 1.5 Take the square root of each side: y = {-1.224744871, 1.224744871}Solution
y = {-1.224744871, 1.224744871}
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