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Simplifying 12y2 + -13yz + -4z2 = 0 Reorder the terms: -13yz + 12y2 + -4z2 = 0 Solving -13yz + 12y2 + -4z2 = 0 Solving for variable 'y'. Factor a trinomial. (3y + -4z)(4y + z) = 0Subproblem 1
Set the factor '(3y + -4z)' equal to zero and attempt to solve: Simplifying 3y + -4z = 0 Solving 3y + -4z = 0 Move all terms containing y to the left, all other terms to the right. Add '4z' to each side of the equation. 3y + -4z + 4z = 0 + 4z Combine like terms: -4z + 4z = 0 3y + 0 = 0 + 4z 3y = 0 + 4z Remove the zero: 3y = 4z Divide each side by '3'. y = 1.333333333z Simplifying y = 1.333333333zSubproblem 2
Set the factor '(4y + z)' equal to zero and attempt to solve: Simplifying 4y + z = 0 Solving 4y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 4y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 4y + 0 = 0 + -1z 4y = 0 + -1z Remove the zero: 4y = -1z Divide each side by '4'. y = -0.25z Simplifying y = -0.25zSolution
y = {1.333333333z, -0.25z}
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