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