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Simplifying 8y4(y2 + -7y) + 4y6 = 0 Reorder the terms: 8y4(-7y + y2) + 4y6 = 0 (-7y * 8y4 + y2 * 8y4) + 4y6 = 0 (-56y5 + 8y6) + 4y6 = 0 Combine like terms: 8y6 + 4y6 = 12y6 -56y5 + 12y6 = 0 Solving -56y5 + 12y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y5'. 4y5(-14 + 3y) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y5' equal to zero and attempt to solve: Simplifying y5 = 0 Solving y5 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y5 = 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 '(-14 + 3y)' equal to zero and attempt to solve: Simplifying -14 + 3y = 0 Solving -14 + 3y = 0 Move all terms containing y to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3y = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3y = 0 + 14 3y = 0 + 14 Combine like terms: 0 + 14 = 14 3y = 14 Divide each side by '3'. y = 4.666666667 Simplifying y = 4.666666667Solution
y = {4.666666667}
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