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Simplifying 10y2 + -7yz + -6z2 = 0 Reorder the terms: -7yz + 10y2 + -6z2 = 0 Solving -7yz + 10y2 + -6z2 = 0 Solving for variable 'y'. Factor a trinomial. (5y + -6z)(2y + z) = 0Subproblem 1
Set the factor '(5y + -6z)' equal to zero and attempt to solve: Simplifying 5y + -6z = 0 Solving 5y + -6z = 0 Move all terms containing y to the left, all other terms to the right. Add '6z' to each side of the equation. 5y + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 5y + 0 = 0 + 6z 5y = 0 + 6z Remove the zero: 5y = 6z Divide each side by '5'. y = 1.2z Simplifying y = 1.2zSubproblem 2
Set the factor '(2y + z)' equal to zero and attempt to solve: Simplifying 2y + z = 0 Solving 2y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 2y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 2y + 0 = 0 + -1z 2y = 0 + -1z Remove the zero: 2y = -1z Divide each side by '2'. y = -0.5z Simplifying y = -0.5zSolution
y = {1.2z, -0.5z}
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