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Simplifying 15y2 + -32yz + -7z2 = 0 Reorder the terms: -32yz + 15y2 + -7z2 = 0 Solving -32yz + 15y2 + -7z2 = 0 Solving for variable 'y'. Factor a trinomial. (3y + -7z)(5y + z) = 0Subproblem 1
Set the factor '(3y + -7z)' equal to zero and attempt to solve: Simplifying 3y + -7z = 0 Solving 3y + -7z = 0 Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. 3y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 3y + 0 = 0 + 7z 3y = 0 + 7z Remove the zero: 3y = 7z Divide each side by '3'. y = 2.333333333z Simplifying y = 2.333333333zSubproblem 2
Set the factor '(5y + z)' equal to zero and attempt to solve: Simplifying 5y + z = 0 Solving 5y + z = 0 Move all terms containing y to the left, all other terms to the right. Add '-1z' to each side of the equation. 5y + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 5y + 0 = 0 + -1z 5y = 0 + -1z Remove the zero: 5y = -1z Divide each side by '5'. y = -0.2z Simplifying y = -0.2zSolution
y = {2.333333333z, -0.2z}
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