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Simplifying 25x2y2 + 40xyz + 16z2 = 0 Reorder the terms: 40xyz + 25x2y2 + 16z2 = 0 Solving 40xyz + 25x2y2 + 16z2 = 0 Solving for variable 'x'. Factor a trinomial. (5xy + 4z)(5xy + 4z) = 0Subproblem 1
Set the factor '(5xy + 4z)' equal to zero and attempt to solve: Simplifying 5xy + 4z = 0 Solving 5xy + 4z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4z' to each side of the equation. 5xy + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 5xy + 0 = 0 + -4z 5xy = 0 + -4z Remove the zero: 5xy = -4z Divide each side by '5y'. x = -0.8y-1z Simplifying x = -0.8y-1zSubproblem 2
Set the factor '(5xy + 4z)' equal to zero and attempt to solve: Simplifying 5xy + 4z = 0 Solving 5xy + 4z = 0 Move all terms containing x to the left, all other terms to the right. Add '-4z' to each side of the equation. 5xy + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 5xy + 0 = 0 + -4z 5xy = 0 + -4z Remove the zero: 5xy = -4z Divide each side by '5y'. x = -0.8y-1z Simplifying x = -0.8y-1zSolution
x = {-0.8y-1z, -0.8y-1z}
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