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Simplifying y2 + -15yz + -100z2 = 0 Reorder the terms: -15yz + y2 + -100z2 = 0 Solving -15yz + y2 + -100z2 = 0 Solving for variable 'y'. Factor a trinomial. (y + -20z)(y + 5z) = 0Subproblem 1
Set the factor '(y + -20z)' equal to zero and attempt to solve: Simplifying y + -20z = 0 Solving y + -20z = 0 Move all terms containing y to the left, all other terms to the right. Add '20z' to each side of the equation. y + -20z + 20z = 0 + 20z Combine like terms: -20z + 20z = 0 y + 0 = 0 + 20z y = 0 + 20z Remove the zero: y = 20z Simplifying y = 20zSubproblem 2
Set the factor '(y + 5z)' equal to zero and attempt to solve: Simplifying y + 5z = 0 Solving y + 5z = 0 Move all terms containing y to the left, all other terms to the right. Add '-5z' to each side of the equation. y + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 y + 0 = 0 + -5z y = 0 + -5z Remove the zero: y = -5z Simplifying y = -5zSolution
y = {20z, -5z}
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