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Simplifying (6x + -1y)(6x + -1y) = 0 Multiply (6x + -1y) * (6x + -1y) (6x * (6x + -1y) + -1y * (6x + -1y)) = 0 ((6x * 6x + -1y * 6x) + -1y * (6x + -1y)) = 0 Reorder the terms: ((-6xy + 36x2) + -1y * (6x + -1y)) = 0 ((-6xy + 36x2) + -1y * (6x + -1y)) = 0 (-6xy + 36x2 + (6x * -1y + -1y * -1y)) = 0 (-6xy + 36x2 + (-6xy + 1y2)) = 0 Reorder the terms: (-6xy + -6xy + 36x2 + 1y2) = 0 Combine like terms: -6xy + -6xy = -12xy (-12xy + 36x2 + 1y2) = 0 Solving -12xy + 36x2 + 1y2 = 0 Solving for variable 'x'. Factor a trinomial. (6x + -1y)(6x + -1y) = 0Subproblem 1
Set the factor '(6x + -1y)' equal to zero and attempt to solve: Simplifying 6x + -1y = 0 Solving 6x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667ySubproblem 2
Set the factor '(6x + -1y)' equal to zero and attempt to solve: Simplifying 6x + -1y = 0 Solving 6x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 6x + -1y + y = 0 + y Combine like terms: -1y + y = 0 6x + 0 = 0 + y 6x = 0 + y Remove the zero: 6x = y Divide each side by '6'. x = 0.1666666667y Simplifying x = 0.1666666667ySolution
x = {0.1666666667y, 0.1666666667y}
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