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Simplifying 12x2 + 23x + 24 = 0 Reorder the terms: 24 + 23x + 12x2 = 0 Solving 24 + 23x + 12x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 12 the coefficient of the squared term: Divide each side by '12'. 2 + 1.916666667x + x2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + 1.916666667x + -2 + x2 = 0 + -2 Reorder the terms: 2 + -2 + 1.916666667x + x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 1.916666667x + x2 = 0 + -2 1.916666667x + x2 = 0 + -2 Combine like terms: 0 + -2 = -2 1.916666667x + x2 = -2 The x term is 1.916666667x. Take half its coefficient (0.9583333335). Square it (0.9184027781) and add it to both sides. Add '0.9184027781' to each side of the equation. 1.916666667x + 0.9184027781 + x2 = -2 + 0.9184027781 Reorder the terms: 0.9184027781 + 1.916666667x + x2 = -2 + 0.9184027781 Combine like terms: -2 + 0.9184027781 = -1.0815972219 0.9184027781 + 1.916666667x + x2 = -1.0815972219 Factor a perfect square on the left side: (x + 0.9583333335)(x + 0.9583333335) = -1.0815972219 Can't calculate square root of the right side. The solution to this equation could not be determined.
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