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Simplifying 4a2 + 7a = -6 Reorder the terms: 7a + 4a2 = -6 Solving 7a + 4a2 = -6 Solving for variable 'a'. Reorder the terms: 6 + 7a + 4a2 = -6 + 6 Combine like terms: -6 + 6 = 0 6 + 7a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 1.5 + 1.75a + a2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + 1.75a + -1.5 + a2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + 1.75a + a2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 1.75a + a2 = 0 + -1.5 1.75a + a2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 1.75a + a2 = -1.5 The a term is 1.75a. Take half its coefficient (0.875). Square it (0.765625) and add it to both sides. Add '0.765625' to each side of the equation. 1.75a + 0.765625 + a2 = -1.5 + 0.765625 Reorder the terms: 0.765625 + 1.75a + a2 = -1.5 + 0.765625 Combine like terms: -1.5 + 0.765625 = -0.734375 0.765625 + 1.75a + a2 = -0.734375 Factor a perfect square on the left side: (a + 0.875)(a + 0.875) = -0.734375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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