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Simplifying y4z2 + 8y3z2 + 16y2z2 = 0 Reorder the terms: 16y2z2 + 8y3z2 + y4z2 = 0 Solving 16y2z2 + 8y3z2 + y4z2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), 'y2z2'. y2z2(16 + 8y + y2) = 0 Factor a trinomial. y2z2((4 + y)(4 + y)) = 0Subproblem 1
Set the factor 'y2z2' equal to zero and attempt to solve: Simplifying y2z2 = 0 Solving y2z2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2z2 = 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 = -4Subproblem 3
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, -4}
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