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Simplifying 42z2 + -1zy + -1y2 = 0 Reorder the terms: -1yz + -1y2 + 42z2 = 0 Solving -1yz + -1y2 + 42z2 = 0 Solving for variable 'y'. Factor a trinomial. (-1y + -7z)(y + -6z) = 0Subproblem 1
Set the factor '(-1y + -7z)' equal to zero and attempt to solve: Simplifying -1y + -7z = 0 Solving -1y + -7z = 0 Move all terms containing y to the left, all other terms to the right. Add '7z' to each side of the equation. -1y + -7z + 7z = 0 + 7z Combine like terms: -7z + 7z = 0 -1y + 0 = 0 + 7z -1y = 0 + 7z Remove the zero: -1y = 7z Divide each side by '-1'. y = -7z Simplifying y = -7zSubproblem 2
Set the factor '(y + -6z)' equal to zero and attempt to solve: Simplifying y + -6z = 0 Solving y + -6z = 0 Move all terms containing y to the left, all other terms to the right. Add '6z' to each side of the equation. y + -6z + 6z = 0 + 6z Combine like terms: -6z + 6z = 0 y + 0 = 0 + 6z y = 0 + 6z Remove the zero: y = 6z Simplifying y = 6zSolution
y = {-7z, 6z}
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