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Simplifying 9y3(y3 + -2y) + 5y6 = 0 Reorder the terms: 9y3(-2y + y3) + 5y6 = 0 (-2y * 9y3 + y3 * 9y3) + 5y6 = 0 (-18y4 + 9y6) + 5y6 = 0 Combine like terms: 9y6 + 5y6 = 14y6 -18y4 + 14y6 = 0 Solving -18y4 + 14y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '2y4'. 2y4(-9 + 7y2) = 0 Ignore the factor 2.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 '(-9 + 7y2)' equal to zero and attempt to solve: Simplifying -9 + 7y2 = 0 Solving -9 + 7y2 = 0 Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 7y2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7y2 = 0 + 9 7y2 = 0 + 9 Combine like terms: 0 + 9 = 9 7y2 = 9 Divide each side by '7'. y2 = 1.285714286 Simplifying y2 = 1.285714286 Take the square root of each side: y = {-1.133893419, 1.133893419}Solution
y = {-1.133893419, 1.133893419}
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