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Simplifying X2 + 6xy + 9y2 + -16z2 = 0 Solving X2 + 6xy + 9y2 + -16z2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6xy' to each side of the equation. X2 + 6xy + 9y2 + -6xy + -16z2 = 0 + -6xy Reorder the terms: X2 + 6xy + -6xy + 9y2 + -16z2 = 0 + -6xy Combine like terms: 6xy + -6xy = 0 X2 + 0 + 9y2 + -16z2 = 0 + -6xy X2 + 9y2 + -16z2 = 0 + -6xy Remove the zero: X2 + 9y2 + -16z2 = -6xy Add '-9y2' to each side of the equation. X2 + 9y2 + -9y2 + -16z2 = -6xy + -9y2 Combine like terms: 9y2 + -9y2 = 0 X2 + 0 + -16z2 = -6xy + -9y2 X2 + -16z2 = -6xy + -9y2 Add '16z2' to each side of the equation. X2 + -16z2 + 16z2 = -6xy + -9y2 + 16z2 Combine like terms: -16z2 + 16z2 = 0 X2 + 0 = -6xy + -9y2 + 16z2 X2 = -6xy + -9y2 + 16z2 Simplifying X2 = -6xy + -9y2 + 16z2 Reorder the terms: X2 + 6xy + 9y2 + -16z2 = -6xy + 6xy + -9y2 + 9y2 + 16z2 + -16z2 Combine like terms: -6xy + 6xy = 0 X2 + 6xy + 9y2 + -16z2 = 0 + -9y2 + 9y2 + 16z2 + -16z2 X2 + 6xy + 9y2 + -16z2 = -9y2 + 9y2 + 16z2 + -16z2 Combine like terms: -9y2 + 9y2 = 0 X2 + 6xy + 9y2 + -16z2 = 0 + 16z2 + -16z2 X2 + 6xy + 9y2 + -16z2 = 16z2 + -16z2 Combine like terms: 16z2 + -16z2 = 0 X2 + 6xy + 9y2 + -16z2 = 0 The solution to this equation could not be determined.
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