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Simplifying 2x2 + 9x + 12 = -4 Reorder the terms: 12 + 9x + 2x2 = -4 Solving 12 + 9x + 2x2 = -4 Solving for variable 'x'. Reorder the terms: 12 + 4 + 9x + 2x2 = -4 + 4 Combine like terms: 12 + 4 = 16 16 + 9x + 2x2 = -4 + 4 Combine like terms: -4 + 4 = 0 16 + 9x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 8 + 4.5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + 4.5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + 4.5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4.5x + x2 = 0 + -8 4.5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 4.5x + x2 = -8 The x term is 4.5x. Take half its coefficient (2.25). Square it (5.0625) and add it to both sides. Add '5.0625' to each side of the equation. 4.5x + 5.0625 + x2 = -8 + 5.0625 Reorder the terms: 5.0625 + 4.5x + x2 = -8 + 5.0625 Combine like terms: -8 + 5.0625 = -2.9375 5.0625 + 4.5x + x2 = -2.9375 Factor a perfect square on the left side: (x + 2.25)(x + 2.25) = -2.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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