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Simplifying 21x2 + -13x = -8 Reorder the terms: -13x + 21x2 = -8 Solving -13x + 21x2 = -8 Solving for variable 'x'. Reorder the terms: 8 + -13x + 21x2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -13x + 21x2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 0.380952381 + -0.619047619x + x2 = 0 Move the constant term to the right: Add '-0.380952381' to each side of the equation. 0.380952381 + -0.619047619x + -0.380952381 + x2 = 0 + -0.380952381 Reorder the terms: 0.380952381 + -0.380952381 + -0.619047619x + x2 = 0 + -0.380952381 Combine like terms: 0.380952381 + -0.380952381 = 0.000000000 0.000000000 + -0.619047619x + x2 = 0 + -0.380952381 -0.619047619x + x2 = 0 + -0.380952381 Combine like terms: 0 + -0.380952381 = -0.380952381 -0.619047619x + x2 = -0.380952381 The x term is -0.619047619x. Take half its coefficient (-0.3095238095). Square it (0.09580498865) and add it to both sides. Add '0.09580498865' to each side of the equation. -0.619047619x + 0.09580498865 + x2 = -0.380952381 + 0.09580498865 Reorder the terms: 0.09580498865 + -0.619047619x + x2 = -0.380952381 + 0.09580498865 Combine like terms: -0.380952381 + 0.09580498865 = -0.28514739235 0.09580498865 + -0.619047619x + x2 = -0.28514739235 Factor a perfect square on the left side: (x + -0.3095238095)(x + -0.3095238095) = -0.28514739235 Can't calculate square root of the right side. The solution to this equation could not be determined.
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