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Simplifying 2y3(y3 + -6y) + 7y6 = 0 Reorder the terms: 2y3(-6y + y3) + 7y6 = 0 (-6y * 2y3 + y3 * 2y3) + 7y6 = 0 (-12y4 + 2y6) + 7y6 = 0 Combine like terms: 2y6 + 7y6 = 9y6 -12y4 + 9y6 = 0 Solving -12y4 + 9y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '3y4'. 3y4(-4 + 3y2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve: Simplifying y4 = 0 Solving y4 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y4 = 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 '(-4 + 3y2)' equal to zero and attempt to solve: Simplifying -4 + 3y2 = 0 Solving -4 + 3y2 = 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 + 3y2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3y2 = 0 + 4 3y2 = 0 + 4 Combine like terms: 0 + 4 = 4 3y2 = 4 Divide each side by '3'. y2 = 1.333333333 Simplifying y2 = 1.333333333 Take the square root of each side: y = {-1.154700538, 1.154700538}Solution
y = {-1.154700538, 1.154700538}
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