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Simplifying 2a2 + 76 = 7a Reorder the terms: 76 + 2a2 = 7a Solving 76 + 2a2 = 7a Solving for variable 'a'. Reorder the terms: 76 + -7a + 2a2 = 7a + -7a Combine like terms: 7a + -7a = 0 76 + -7a + 2a2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 38 + -3.5a + a2 = 0 Move the constant term to the right: Add '-38' to each side of the equation. 38 + -3.5a + -38 + a2 = 0 + -38 Reorder the terms: 38 + -38 + -3.5a + a2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -3.5a + a2 = 0 + -38 -3.5a + a2 = 0 + -38 Combine like terms: 0 + -38 = -38 -3.5a + a2 = -38 The a term is -3.5a. Take half its coefficient (-1.75). Square it (3.0625) and add it to both sides. Add '3.0625' to each side of the equation. -3.5a + 3.0625 + a2 = -38 + 3.0625 Reorder the terms: 3.0625 + -3.5a + a2 = -38 + 3.0625 Combine like terms: -38 + 3.0625 = -34.9375 3.0625 + -3.5a + a2 = -34.9375 Factor a perfect square on the left side: (a + -1.75)(a + -1.75) = -34.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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