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Simplifying 25y2 + -25yz + 6z2 = 0 Reorder the terms: -25yz + 25y2 + 6z2 = 0 Solving -25yz + 25y2 + 6z2 = 0 Solving for variable 'y'. Factor a trinomial. (5y + -3z)(5y + -2z) = 0Subproblem 1
Set the factor '(5y + -3z)' equal to zero and attempt to solve: Simplifying 5y + -3z = 0 Solving 5y + -3z = 0 Move all terms containing y to the left, all other terms to the right. Add '3z' to each side of the equation. 5y + -3z + 3z = 0 + 3z Combine like terms: -3z + 3z = 0 5y + 0 = 0 + 3z 5y = 0 + 3z Remove the zero: 5y = 3z Divide each side by '5'. y = 0.6z Simplifying y = 0.6zSubproblem 2
Set the factor '(5y + -2z)' equal to zero and attempt to solve: Simplifying 5y + -2z = 0 Solving 5y + -2z = 0 Move all terms containing y to the left, all other terms to the right. Add '2z' to each side of the equation. 5y + -2z + 2z = 0 + 2z Combine like terms: -2z + 2z = 0 5y + 0 = 0 + 2z 5y = 0 + 2z Remove the zero: 5y = 2z Divide each side by '5'. y = 0.4z Simplifying y = 0.4zSolution
y = {0.6z, 0.4z}
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