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Simplifying 21a2 + 25 = 30a Reorder the terms: 25 + 21a2 = 30a Solving 25 + 21a2 = 30a Solving for variable 'a'. Reorder the terms: 25 + -30a + 21a2 = 30a + -30a Combine like terms: 30a + -30a = 0 25 + -30a + 21a2 = 0 Begin completing the square. Divide all terms by 21 the coefficient of the squared term: Divide each side by '21'. 1.19047619 + -1.428571429a + a2 = 0 Move the constant term to the right: Add '-1.19047619' to each side of the equation. 1.19047619 + -1.428571429a + -1.19047619 + a2 = 0 + -1.19047619 Reorder the terms: 1.19047619 + -1.19047619 + -1.428571429a + a2 = 0 + -1.19047619 Combine like terms: 1.19047619 + -1.19047619 = 0.00000000 0.00000000 + -1.428571429a + a2 = 0 + -1.19047619 -1.428571429a + a2 = 0 + -1.19047619 Combine like terms: 0 + -1.19047619 = -1.19047619 -1.428571429a + a2 = -1.19047619 The a term is -1.428571429a. Take half its coefficient (-0.7142857145). Square it (0.5102040819) and add it to both sides. Add '0.5102040819' to each side of the equation. -1.428571429a + 0.5102040819 + a2 = -1.19047619 + 0.5102040819 Reorder the terms: 0.5102040819 + -1.428571429a + a2 = -1.19047619 + 0.5102040819 Combine like terms: -1.19047619 + 0.5102040819 = -0.6802721081 0.5102040819 + -1.428571429a + a2 = -0.6802721081 Factor a perfect square on the left side: (a + -0.7142857145)(a + -0.7142857145) = -0.6802721081 Can't calculate square root of the right side. The solution to this equation could not be determined.
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