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Simplifying 3x2 + 36x + 110 = 0 Reorder the terms: 110 + 36x + 3x2 = 0 Solving 110 + 36x + 3x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 36.66666667 + 12x + x2 = 0 Move the constant term to the right: Add '-36.66666667' to each side of the equation. 36.66666667 + 12x + -36.66666667 + x2 = 0 + -36.66666667 Reorder the terms: 36.66666667 + -36.66666667 + 12x + x2 = 0 + -36.66666667 Combine like terms: 36.66666667 + -36.66666667 = 0.00000000 0.00000000 + 12x + x2 = 0 + -36.66666667 12x + x2 = 0 + -36.66666667 Combine like terms: 0 + -36.66666667 = -36.66666667 12x + x2 = -36.66666667 The x term is 12x. Take half its coefficient (6). Square it (36) and add it to both sides. Add '36' to each side of the equation. 12x + 36 + x2 = -36.66666667 + 36 Reorder the terms: 36 + 12x + x2 = -36.66666667 + 36 Combine like terms: -36.66666667 + 36 = -0.66666667 36 + 12x + x2 = -0.66666667 Factor a perfect square on the left side: (x + 6)(x + 6) = -0.66666667 Can't calculate square root of the right side. The solution to this equation could not be determined.
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