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Simplifying 7x + -21x2 + -25 = 0 Reorder the terms: -25 + 7x + -21x2 = 0 Solving -25 + 7x + -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'. 1.19047619 + -0.3333333333x + x2 = 0 Move the constant term to the right: Add '-1.19047619' to each side of the equation. 1.19047619 + -0.3333333333x + -1.19047619 + x2 = 0 + -1.19047619 Reorder the terms: 1.19047619 + -1.19047619 + -0.3333333333x + x2 = 0 + -1.19047619 Combine like terms: 1.19047619 + -1.19047619 = 0.00000000 0.00000000 + -0.3333333333x + x2 = 0 + -1.19047619 -0.3333333333x + x2 = 0 + -1.19047619 Combine like terms: 0 + -1.19047619 = -1.19047619 -0.3333333333x + x2 = -1.19047619 The x term is -0.3333333333x. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333x + 0.02777777779 + x2 = -1.19047619 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333x + x2 = -1.19047619 + 0.02777777779 Combine like terms: -1.19047619 + 0.02777777779 = -1.16269841221 0.02777777779 + -0.3333333333x + x2 = -1.16269841221 Factor a perfect square on the left side: (x + -0.1666666667)(x + -0.1666666667) = -1.16269841221 Can't calculate square root of the right side. The solution to this equation could not be determined.
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