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Simplifying 96y2 + -22xy + x2 = 0 Reorder the terms: -22xy + x2 + 96y2 = 0 Solving -22xy + x2 + 96y2 = 0 Solving for variable 'x'. Factor a trinomial. (x + -16y)(x + -6y) = 0Subproblem 1
Set the factor '(x + -16y)' equal to zero and attempt to solve: Simplifying x + -16y = 0 Solving x + -16y = 0 Move all terms containing x to the left, all other terms to the right. Add '16y' to each side of the equation. x + -16y + 16y = 0 + 16y Combine like terms: -16y + 16y = 0 x + 0 = 0 + 16y x = 0 + 16y Remove the zero: x = 16y Simplifying x = 16ySubproblem 2
Set the factor '(x + -6y)' equal to zero and attempt to solve: Simplifying x + -6y = 0 Solving x + -6y = 0 Move all terms containing x to the left, all other terms to the right. Add '6y' to each side of the equation. x + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 x + 0 = 0 + 6y x = 0 + 6y Remove the zero: x = 6y Simplifying x = 6ySolution
x = {16y, 6y}
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