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Simplifying 21x2 + 46x + 45 = 0 Reorder the terms: 45 + 46x + 21x2 = 0 Solving 45 + 46x + 21x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 2.142857143 + 2.19047619x + x2 = 0 Move the constant term to the right: Add '-2.142857143' to each side of the equation. 2.142857143 + 2.19047619x + -2.142857143 + x2 = 0 + -2.142857143 Reorder the terms: 2.142857143 + -2.142857143 + 2.19047619x + x2 = 0 + -2.142857143 Combine like terms: 2.142857143 + -2.142857143 = 0.000000000 0.000000000 + 2.19047619x + x2 = 0 + -2.142857143 2.19047619x + x2 = 0 + -2.142857143 Combine like terms: 0 + -2.142857143 = -2.142857143 2.19047619x + x2 = -2.142857143 The x term is 2.19047619x. Take half its coefficient (1.095238095). Square it (1.199546485) and add it to both sides. Add '1.199546485' to each side of the equation. 2.19047619x + 1.199546485 + x2 = -2.142857143 + 1.199546485 Reorder the terms: 1.199546485 + 2.19047619x + x2 = -2.142857143 + 1.199546485 Combine like terms: -2.142857143 + 1.199546485 = -0.943310658 1.199546485 + 2.19047619x + x2 = -0.943310658 Factor a perfect square on the left side: (x + 1.095238095)(x + 1.095238095) = -0.943310658 Can't calculate square root of the right side. The solution to this equation could not be determined.
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