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Simplifying 0 = 3x(4x + 2y) + -2y(3x + -4y) 0 = (4x * 3x + 2y * 3x) + -2y(3x + -4y) Reorder the terms: 0 = (6xy + 12x2) + -2y(3x + -4y) 0 = (6xy + 12x2) + -2y(3x + -4y) 0 = 6xy + 12x2 + (3x * -2y + -4y * -2y) 0 = 6xy + 12x2 + (-6xy + 8y2) Reorder the terms: 0 = 6xy + -6xy + 12x2 + 8y2 Combine like terms: 6xy + -6xy = 0 0 = 0 + 12x2 + 8y2 0 = 12x2 + 8y2 Solving 0 = 12x2 + 8y2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x2' to each side of the equation. 0 + -12x2 = 12x2 + -12x2 + 8y2 Remove the zero: -12x2 = 12x2 + -12x2 + 8y2 Combine like terms: 12x2 + -12x2 = 0 -12x2 = 0 + 8y2 -12x2 = 8y2 Divide each side by '-12'. x2 = -0.6666666667y2 Simplifying x2 = -0.6666666667y2 Combine like terms: -0.6666666667y2 + 0.6666666667y2 = 0.0000000000 x2 + 0.6666666667y2 = 0.0000000000 The solution to this equation could not be determined.
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