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Simplifying (8 + 2y3)(8 + 2y3) = 0 Multiply (8 + 2y3) * (8 + 2y3) (8(8 + 2y3) + 2y3 * (8 + 2y3)) = 0 ((8 * 8 + 2y3 * 8) + 2y3 * (8 + 2y3)) = 0 ((64 + 16y3) + 2y3 * (8 + 2y3)) = 0 (64 + 16y3 + (8 * 2y3 + 2y3 * 2y3)) = 0 (64 + 16y3 + (16y3 + 4y6)) = 0 Combine like terms: 16y3 + 16y3 = 32y3 (64 + 32y3 + 4y6) = 0 Solving 64 + 32y3 + 4y6 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + 8y3 + y6) = 0 Factor a trinomial. 4((4 + y3)(4 + y3)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(4 + y3)' equal to zero and attempt to solve: Simplifying 4 + y3 = 0 Solving 4 + y3 = 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 + y3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y3 = 0 + -4 y3 = 0 + -4 Combine like terms: 0 + -4 = -4 y3 = -4 Simplifying y3 = -4 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 + y3)' equal to zero and attempt to solve: Simplifying 4 + y3 = 0 Solving 4 + y3 = 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 + y3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + y3 = 0 + -4 y3 = 0 + -4 Combine like terms: 0 + -4 = -4 y3 = -4 Simplifying y3 = -4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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