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Simplifying 5x2 + 18x + 61 = 0 Reorder the terms: 61 + 18x + 5x2 = 0 Solving 61 + 18x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 12.2 + 3.6x + x2 = 0 Move the constant term to the right: Add '-12.2' to each side of the equation. 12.2 + 3.6x + -12.2 + x2 = 0 + -12.2 Reorder the terms: 12.2 + -12.2 + 3.6x + x2 = 0 + -12.2 Combine like terms: 12.2 + -12.2 = 0.0 0.0 + 3.6x + x2 = 0 + -12.2 3.6x + x2 = 0 + -12.2 Combine like terms: 0 + -12.2 = -12.2 3.6x + x2 = -12.2 The x term is 3.6x. Take half its coefficient (1.8). Square it (3.24) and add it to both sides. Add '3.24' to each side of the equation. 3.6x + 3.24 + x2 = -12.2 + 3.24 Reorder the terms: 3.24 + 3.6x + x2 = -12.2 + 3.24 Combine like terms: -12.2 + 3.24 = -8.96 3.24 + 3.6x + x2 = -8.96 Factor a perfect square on the left side: (x + 1.8)(x + 1.8) = -8.96 Can't calculate square root of the right side. The solution to this equation could not be determined.
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