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Simplifying 3y2 + -8xy + -16x2 = 0 Reorder the terms: -8xy + -16x2 + 3y2 = 0 Solving -8xy + -16x2 + 3y2 = 0 Solving for variable 'x'. Factor a trinomial. (-4x + -3y)(4x + -1y) = 0Subproblem 1
Set the factor '(-4x + -3y)' equal to zero and attempt to solve: Simplifying -4x + -3y = 0 Solving -4x + -3y = 0 Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. -4x + -3y + 3y = 0 + 3y Combine like terms: -3y + 3y = 0 -4x + 0 = 0 + 3y -4x = 0 + 3y Remove the zero: -4x = 3y Divide each side by '-4'. x = -0.75y Simplifying x = -0.75ySubproblem 2
Set the factor '(4x + -1y)' equal to zero and attempt to solve: Simplifying 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 4x + -1y + y = 0 + y Combine like terms: -1y + y = 0 4x + 0 = 0 + y 4x = 0 + y Remove the zero: 4x = y Divide each side by '4'. x = 0.25y Simplifying x = 0.25ySolution
x = {-0.75y, 0.25y}
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