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Simplifying -4a2 + 3a + -5 = 2 Reorder the terms: -5 + 3a + -4a2 = 2 Solving -5 + 3a + -4a2 = 2 Solving for variable 'a'. Reorder the terms: -5 + -2 + 3a + -4a2 = 2 + -2 Combine like terms: -5 + -2 = -7 -7 + 3a + -4a2 = 2 + -2 Combine like terms: 2 + -2 = 0 -7 + 3a + -4a2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 1.75 + -0.75a + a2 = 0 Move the constant term to the right: Add '-1.75' to each side of the equation. 1.75 + -0.75a + -1.75 + a2 = 0 + -1.75 Reorder the terms: 1.75 + -1.75 + -0.75a + a2 = 0 + -1.75 Combine like terms: 1.75 + -1.75 = 0.00 0.00 + -0.75a + a2 = 0 + -1.75 -0.75a + a2 = 0 + -1.75 Combine like terms: 0 + -1.75 = -1.75 -0.75a + a2 = -1.75 The a term is -0.75a. Take half its coefficient (-0.375). Square it (0.140625) and add it to both sides. Add '0.140625' to each side of the equation. -0.75a + 0.140625 + a2 = -1.75 + 0.140625 Reorder the terms: 0.140625 + -0.75a + a2 = -1.75 + 0.140625 Combine like terms: -1.75 + 0.140625 = -1.609375 0.140625 + -0.75a + a2 = -1.609375 Factor a perfect square on the left side: (a + -0.375)(a + -0.375) = -1.609375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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