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Simplifying 16y2 + 88yz + 121z2 = 0 Reorder the terms: 88yz + 16y2 + 121z2 = 0 Solving 88yz + 16y2 + 121z2 = 0 Solving for variable 'y'. Factor a trinomial. (4y + 11z)(4y + 11z) = 0Subproblem 1
Set the factor '(4y + 11z)' equal to zero and attempt to solve: Simplifying 4y + 11z = 0 Solving 4y + 11z = 0 Move all terms containing y to the left, all other terms to the right. Add '-11z' to each side of the equation. 4y + 11z + -11z = 0 + -11z Combine like terms: 11z + -11z = 0 4y + 0 = 0 + -11z 4y = 0 + -11z Remove the zero: 4y = -11z Divide each side by '4'. y = -2.75z Simplifying y = -2.75zSubproblem 2
Set the factor '(4y + 11z)' equal to zero and attempt to solve: Simplifying 4y + 11z = 0 Solving 4y + 11z = 0 Move all terms containing y to the left, all other terms to the right. Add '-11z' to each side of the equation. 4y + 11z + -11z = 0 + -11z Combine like terms: 11z + -11z = 0 4y + 0 = 0 + -11z 4y = 0 + -11z Remove the zero: 4y = -11z Divide each side by '4'. y = -2.75z Simplifying y = -2.75zSolution
y = {-2.75z, -2.75z}
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