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Simplifying 8a2 = 5a + -12 Reorder the terms: 8a2 = -12 + 5a Solving 8a2 = -12 + 5a Solving for variable 'a'. Reorder the terms: 12 + -5a + 8a2 = -12 + 5a + 12 + -5a Reorder the terms: 12 + -5a + 8a2 = -12 + 12 + 5a + -5a Combine like terms: -12 + 12 = 0 12 + -5a + 8a2 = 0 + 5a + -5a 12 + -5a + 8a2 = 5a + -5a Combine like terms: 5a + -5a = 0 12 + -5a + 8a2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 1.5 + -0.625a + a2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -0.625a + -1.5 + a2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -0.625a + a2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -0.625a + a2 = 0 + -1.5 -0.625a + a2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -0.625a + a2 = -1.5 The a term is -0.625a. Take half its coefficient (-0.3125). Square it (0.09765625) and add it to both sides. Add '0.09765625' to each side of the equation. -0.625a + 0.09765625 + a2 = -1.5 + 0.09765625 Reorder the terms: 0.09765625 + -0.625a + a2 = -1.5 + 0.09765625 Combine like terms: -1.5 + 0.09765625 = -1.40234375 0.09765625 + -0.625a + a2 = -1.40234375 Factor a perfect square on the left side: (a + -0.3125)(a + -0.3125) = -1.40234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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