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Simplifying y2 + 18yz + 77z2 = 0 Reorder the terms: 18yz + y2 + 77z2 = 0 Solving 18yz + y2 + 77z2 = 0 Solving for variable 'y'. Factor a trinomial. (y + 7z)(y + 11z) = 0Subproblem 1
Set the factor '(y + 7z)' equal to zero and attempt to solve: Simplifying y + 7z = 0 Solving y + 7z = 0 Move all terms containing y to the left, all other terms to the right. Add '-7z' to each side of the equation. y + 7z + -7z = 0 + -7z Combine like terms: 7z + -7z = 0 y + 0 = 0 + -7z y = 0 + -7z Remove the zero: y = -7z Simplifying y = -7zSubproblem 2
Set the factor '(y + 11z)' equal to zero and attempt to solve: Simplifying y + 11z = 0 Solving y + 11z = 0 Move all terms containing y to the left, all other terms to the right. Add '-11z' to each side of the equation. y + 11z + -11z = 0 + -11z Combine like terms: 11z + -11z = 0 y + 0 = 0 + -11z y = 0 + -11z Remove the zero: y = -11z Simplifying y = -11zSolution
y = {-7z, -11z}
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