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Simplifying 4y7 + -8y4 + 4y = 0 Reorder the terms: 4y + -8y4 + 4y7 = 0 Solving 4y + -8y4 + 4y7 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(1 + -2y3 + y6) = 0 Factor a trinomial. 4y((1 + -1y3)(1 + -1y3)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0Subproblem 2
Set the factor '(1 + -1y3)' equal to zero and attempt to solve: Simplifying 1 + -1y3 = 0 Solving 1 + -1y3 = 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 + -1y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y3 = 0 + -1 -1y3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1y3 = -1 Divide each side by '-1'. y3 = 1 Simplifying y3 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1y3)' equal to zero and attempt to solve: Simplifying 1 + -1y3 = 0 Solving 1 + -1y3 = 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 + -1y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y3 = 0 + -1 -1y3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1y3 = -1 Divide each side by '-1'. y3 = 1 Simplifying y3 = 1 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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