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Simplifying 16y2 + -40yz + 25z2 = 0 Reorder the terms: -40yz + 16y2 + 25z2 = 0 Solving -40yz + 16y2 + 25z2 = 0 Solving for variable 'y'. Factor a trinomial. (4y + -5z)(4y + -5z) = 0Subproblem 1
Set the factor '(4y + -5z)' equal to zero and attempt to solve: Simplifying 4y + -5z = 0 Solving 4y + -5z = 0 Move all terms containing y to the left, all other terms to the right. Add '5z' to each side of the equation. 4y + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 4y + 0 = 0 + 5z 4y = 0 + 5z Remove the zero: 4y = 5z Divide each side by '4'. y = 1.25z Simplifying y = 1.25zSubproblem 2
Set the factor '(4y + -5z)' equal to zero and attempt to solve: Simplifying 4y + -5z = 0 Solving 4y + -5z = 0 Move all terms containing y to the left, all other terms to the right. Add '5z' to each side of the equation. 4y + -5z + 5z = 0 + 5z Combine like terms: -5z + 5z = 0 4y + 0 = 0 + 5z 4y = 0 + 5z Remove the zero: 4y = 5z Divide each side by '4'. y = 1.25z Simplifying y = 1.25zSolution
y = {1.25z, 1.25z}
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