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Simplifying y11 + -4y + -12y = 0 Reorder the terms: -4y + -12y + y11 = 0 Combine like terms: -4y + -12y = -16y -16y + y11 = 0 Solving -16y + y11 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y'. y(-16 + y10) = 0 Factor a difference between two squares. y((4 + y5)(-4 + y5)) = 0Subproblem 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 '(4 + y5)' equal to zero and attempt to solve: Simplifying 4 + y5 = 0 Solving 4 + y5 = 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 + y5 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y5 = 0 + -4 y5 = 0 + -4 Combine like terms: 0 + -4 = -4 y5 = -4 Simplifying y5 = -4 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 '(-4 + y5)' equal to zero and attempt to solve: Simplifying -4 + y5 = 0 Solving -4 + y5 = 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 + y5 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + y5 = 0 + 4 y5 = 0 + 4 Combine like terms: 0 + 4 = 4 y5 = 4 Simplifying y5 = 4 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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