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Simplifying (2x + -3y)(2x + -3y) + 12xy = 0 Multiply (2x + -3y) * (2x + -3y) (2x * (2x + -3y) + -3y * (2x + -3y)) + 12xy = 0 ((2x * 2x + -3y * 2x) + -3y * (2x + -3y)) + 12xy = 0 Reorder the terms: ((-6xy + 4x2) + -3y * (2x + -3y)) + 12xy = 0 ((-6xy + 4x2) + -3y * (2x + -3y)) + 12xy = 0 (-6xy + 4x2 + (2x * -3y + -3y * -3y)) + 12xy = 0 (-6xy + 4x2 + (-6xy + 9y2)) + 12xy = 0 Reorder the terms: (-6xy + -6xy + 4x2 + 9y2) + 12xy = 0 Combine like terms: -6xy + -6xy = -12xy (-12xy + 4x2 + 9y2) + 12xy = 0 Reorder the terms: -12xy + 12xy + 4x2 + 9y2 = 0 Combine like terms: -12xy + 12xy = 0 0 + 4x2 + 9y2 = 0 4x2 + 9y2 = 0 Solving 4x2 + 9y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y2' to each side of the equation. 4x2 + 9y2 + -9y2 = 0 + -9y2 Combine like terms: 9y2 + -9y2 = 0 4x2 + 0 = 0 + -9y2 4x2 = 0 + -9y2 Remove the zero: 4x2 = -9y2 Divide each side by '4'. x2 = -2.25y2 Simplifying x2 = -2.25y2 Combine like terms: -2.25y2 + 2.25y2 = 0.00 x2 + 2.25y2 = 0.00 The solution to this equation could not be determined.
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