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Simplifying y2 + 8xy + 16x2 = 0 Reorder the terms: 8xy + 16x2 + y2 = 0 Solving 8xy + 16x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (4x + y)(4x + y) = 0Subproblem 1
Set the factor '(4x + y)' equal to zero and attempt to solve: Simplifying 4x + y = 0 Solving 4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 4x + 0 = 0 + -1y 4x = 0 + -1y Remove the zero: 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25ySubproblem 2
Set the factor '(4x + y)' equal to zero and attempt to solve: Simplifying 4x + y = 0 Solving 4x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 4x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 4x + 0 = 0 + -1y 4x = 0 + -1y Remove the zero: 4x = -1y Divide each side by '4'. x = -0.25y Simplifying x = -0.25ySolution
x = {-0.25y, -0.25y}
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