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Simplifying 8a2 = 3a + -5 Reorder the terms: 8a2 = -5 + 3a Solving 8a2 = -5 + 3a Solving for variable 'a'. Reorder the terms: 5 + -3a + 8a2 = -5 + 3a + 5 + -3a Reorder the terms: 5 + -3a + 8a2 = -5 + 5 + 3a + -3a Combine like terms: -5 + 5 = 0 5 + -3a + 8a2 = 0 + 3a + -3a 5 + -3a + 8a2 = 3a + -3a Combine like terms: 3a + -3a = 0 5 + -3a + 8a2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.625 + -0.375a + a2 = 0 Move the constant term to the right: Add '-0.625' to each side of the equation. 0.625 + -0.375a + -0.625 + a2 = 0 + -0.625 Reorder the terms: 0.625 + -0.625 + -0.375a + a2 = 0 + -0.625 Combine like terms: 0.625 + -0.625 = 0.000 0.000 + -0.375a + a2 = 0 + -0.625 -0.375a + a2 = 0 + -0.625 Combine like terms: 0 + -0.625 = -0.625 -0.375a + a2 = -0.625 The a term is -0.375a. Take half its coefficient (-0.1875). Square it (0.03515625) and add it to both sides. Add '0.03515625' to each side of the equation. -0.375a + 0.03515625 + a2 = -0.625 + 0.03515625 Reorder the terms: 0.03515625 + -0.375a + a2 = -0.625 + 0.03515625 Combine like terms: -0.625 + 0.03515625 = -0.58984375 0.03515625 + -0.375a + a2 = -0.58984375 Factor a perfect square on the left side: (a + -0.1875)(a + -0.1875) = -0.58984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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