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Simplifying 91x2 + 105x = -90 Reorder the terms: 105x + 91x2 = -90 Solving 105x + 91x2 = -90 Solving for variable 'x'. Reorder the terms: 90 + 105x + 91x2 = -90 + 90 Combine like terms: -90 + 90 = 0 90 + 105x + 91x2 = 0 Begin completing the square. Divide all terms by 91 the coefficient of the squared term: Divide each side by '91'. 0.989010989 + 1.153846154x + x2 = 0 Move the constant term to the right: Add '-0.989010989' to each side of the equation. 0.989010989 + 1.153846154x + -0.989010989 + x2 = 0 + -0.989010989 Reorder the terms: 0.989010989 + -0.989010989 + 1.153846154x + x2 = 0 + -0.989010989 Combine like terms: 0.989010989 + -0.989010989 = 0.000000000 0.000000000 + 1.153846154x + x2 = 0 + -0.989010989 1.153846154x + x2 = 0 + -0.989010989 Combine like terms: 0 + -0.989010989 = -0.989010989 1.153846154x + x2 = -0.989010989 The x term is 1.153846154x. Take half its coefficient (0.576923077). Square it (0.3328402368) and add it to both sides. Add '0.3328402368' to each side of the equation. 1.153846154x + 0.3328402368 + x2 = -0.989010989 + 0.3328402368 Reorder the terms: 0.3328402368 + 1.153846154x + x2 = -0.989010989 + 0.3328402368 Combine like terms: -0.989010989 + 0.3328402368 = -0.6561707522 0.3328402368 + 1.153846154x + x2 = -0.6561707522 Factor a perfect square on the left side: (x + 0.576923077)(x + 0.576923077) = -0.6561707522 Can't calculate square root of the right side. The solution to this equation could not be determined.
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