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Simplifying 6xy + -5x2 + -1y2 = 0 Solving 6xy + -5x2 + -1y2 = 0 Solving for variable 'x'. Factor a trinomial. (-5x + y)(x + -1y) = 0Subproblem 1
Set the factor '(-5x + y)' equal to zero and attempt to solve: Simplifying -5x + y = 0 Solving -5x + y = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. -5x + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 -5x + 0 = 0 + -1y -5x = 0 + -1y Remove the zero: -5x = -1y Divide each side by '-5'. x = 0.2y Simplifying x = 0.2ySubproblem 2
Set the factor '(x + -1y)' equal to zero and attempt to solve: Simplifying x + -1y = 0 Solving x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. x + -1y + y = 0 + y Combine like terms: -1y + y = 0 x + 0 = 0 + y x = 0 + y Remove the zero: x = y Simplifying x = ySolution
x = {0.2y, y}
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