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Simplifying 3x2 + 12x + 20 = -0.5 Reorder the terms: 20 + 12x + 3x2 = -0.5 Solving 20 + 12x + 3x2 = -0.5 Solving for variable 'x'. Reorder the terms: 20 + 0.5 + 12x + 3x2 = -0.5 + 0.5 Combine like terms: 20 + 0.5 = 20.5 20.5 + 12x + 3x2 = -0.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 20.5 + 12x + 3x2 = 0.0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 6.833333333 + 4x + x2 = 0.0 Move the constant term to the right: Add '-6.833333333' to each side of the equation. 6.833333333 + 4x + -6.833333333 + x2 = 0.0 + -6.833333333 Reorder the terms: 6.833333333 + -6.833333333 + 4x + x2 = 0.0 + -6.833333333 Combine like terms: 6.833333333 + -6.833333333 = 0.000000000 0.000000000 + 4x + x2 = 0.0 + -6.833333333 4x + x2 = 0.0 + -6.833333333 Combine like terms: 0.0 + -6.833333333 = -6.833333333 4x + x2 = -6.833333333 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = -6.833333333 + 4 Reorder the terms: 4 + 4x + x2 = -6.833333333 + 4 Combine like terms: -6.833333333 + 4 = -2.833333333 4 + 4x + x2 = -2.833333333 Factor a perfect square on the left side: (x + 2)(x + 2) = -2.833333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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