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Simplifying 13x2 + 13x + 30 = 0 Reorder the terms: 30 + 13x + 13x2 = 0 Solving 30 + 13x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 2.307692308 + x + x2 = 0 Move the constant term to the right: Add '-2.307692308' to each side of the equation. 2.307692308 + x + -2.307692308 + x2 = 0 + -2.307692308 Reorder the terms: 2.307692308 + -2.307692308 + x + x2 = 0 + -2.307692308 Combine like terms: 2.307692308 + -2.307692308 = 0.000000000 0.000000000 + x + x2 = 0 + -2.307692308 x + x2 = 0 + -2.307692308 Combine like terms: 0 + -2.307692308 = -2.307692308 x + x2 = -2.307692308 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. + 0.25 + x2 = -2.307692308 + 0.25 Combine like terms: + 0.25 = 1.25 1.25 + x2 = -2.307692308 + 0.25 Combine like terms: -2.307692308 + 0.25 = -2.057692308 1.25 + x2 = -2.057692308 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -2.057692308 Can't calculate square root of the right side. The solution to this equation could not be determined.
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