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Simplifying 8y2 + -6xy + -5x2 = 0 Reorder the terms: -6xy + -5x2 + 8y2 = 0 Solving -6xy + -5x2 + 8y2 = 0 Solving for variable 'x'. Factor a trinomial. (-1x + -2y)(5x + -4y) = 0Subproblem 1
Set the factor '(-1x + -2y)' equal to zero and attempt to solve: Simplifying -1x + -2y = 0 Solving -1x + -2y = 0 Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -1x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = 0 + 2y -1x = 0 + 2y Remove the zero: -1x = 2y Divide each side by '-1'. x = -2y Simplifying x = -2ySubproblem 2
Set the factor '(5x + -4y)' equal to zero and attempt to solve: Simplifying 5x + -4y = 0 Solving 5x + -4y = 0 Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y = 0 + 4y Combine like terms: -4y + 4y = 0 5x + 0 = 0 + 4y 5x = 0 + 4y Remove the zero: 5x = 4y Divide each side by '5'. x = 0.8y Simplifying x = 0.8ySolution
x = {-2y, 0.8y}
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