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Simplifying y2 + 2xy + -63x2 = 0 Reorder the terms: 2xy + -63x2 + y2 = 0 Solving 2xy + -63x2 + y2 = 0 Solving for variable 'x'. Factor a trinomial. (-9x + -1y)(7x + -1y) = 0Subproblem 1
Set the factor '(-9x + -1y)' equal to zero and attempt to solve: Simplifying -9x + -1y = 0 Solving -9x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. -9x + -1y + y = 0 + y Combine like terms: -1y + y = 0 -9x + 0 = 0 + y -9x = 0 + y Remove the zero: -9x = y Divide each side by '-9'. x = -0.1111111111y Simplifying x = -0.1111111111ySubproblem 2
Set the factor '(7x + -1y)' equal to zero and attempt to solve: Simplifying 7x + -1y = 0 Solving 7x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 7x + -1y + y = 0 + y Combine like terms: -1y + y = 0 7x + 0 = 0 + y 7x = 0 + y Remove the zero: 7x = y Divide each side by '7'. x = 0.1428571429y Simplifying x = 0.1428571429ySolution
x = {-0.1111111111y, 0.1428571429y}
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