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Simplifying 9y2 + 18yz + 9z2 = 0 Reorder the terms: 18yz + 9y2 + 9z2 = 0 Solving 18yz + 9y2 + 9z2 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '9'. 9(2yz + y2 + z2) = 0 Factor a trinomial. 9((y + z)(y + z)) = 0 Ignore the factor 9.Subproblem 1
Set the factor '(y + z)' equal to zero and attempt to solve: Simplifying y + z = 0 Solving y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 y + 0 = 0 + -1z y = 0 + -1z Remove the zero: y = -1z Simplifying y = -1zSubproblem 2
Set the factor '(y + z)' equal to zero and attempt to solve: Simplifying y + z = 0 Solving y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 y + 0 = 0 + -1z y = 0 + -1z Remove the zero: y = -1z Simplifying y = -1zSolution
y = {-1z, -1z}
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