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Simplifying 0 = y5 + 4y4 Reorder the terms: 0 = 4y4 + y5 Solving 0 = 4y4 + y5 Solving for variable 'y'. Remove the zero: -4y4 + -1y5 = 4y4 + y5 + -4y4 + -1y5 Reorder the terms: -4y4 + -1y5 = 4y4 + -4y4 + y5 + -1y5 Combine like terms: 4y4 + -4y4 = 0 -4y4 + -1y5 = 0 + y5 + -1y5 -4y4 + -1y5 = y5 + -1y5 Combine like terms: y5 + -1y5 = 0 -4y4 + -1y5 = 0 Factor out the Greatest Common Factor (GCF), '-1y4'. -1y4(4 + y) = 0 Ignore the factor -1.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 + y)' equal to zero and attempt to solve: Simplifying 4 + y = 0 Solving 4 + y = 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 + y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y = 0 + -4 y = 0 + -4 Combine like terms: 0 + -4 = -4 y = -4 Simplifying y = -4Solution
y = {-4}
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