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Simplifying y2 + -12yz + -45z2 = 0 Reorder the terms: -12yz + y2 + -45z2 = 0 Solving -12yz + y2 + -45z2 = 0 Solving for variable 'y'. Factor a trinomial. (y + -15z)(y + 3z) = 0Subproblem 1
Set the factor '(y + -15z)' equal to zero and attempt to solve: Simplifying y + -15z = 0 Solving y + -15z = 0 Move all terms containing y to the left, all other terms to the right. Add '15z' to each side of the equation. y + -15z + 15z = 0 + 15z Combine like terms: -15z + 15z = 0 y + 0 = 0 + 15z y = 0 + 15z Remove the zero: y = 15z Simplifying y = 15zSubproblem 2
Set the factor '(y + 3z)' equal to zero and attempt to solve: Simplifying y + 3z = 0 Solving y + 3z = 0 Move all terms containing y to the left, all other terms to the right. Add '-3z' to each side of the equation. y + 3z + -3z = 0 + -3z Combine like terms: 3z + -3z = 0 y + 0 = 0 + -3z y = 0 + -3z Remove the zero: y = -3z Simplifying y = -3zSolution
y = {15z, -3z}
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