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Simplifying 8a + a2 = -75 Solving 8a + a2 = -75 Solving for variable 'a'. Reorder the terms: 75 + 8a + a2 = -75 + 75 Combine like terms: -75 + 75 = 0 75 + 8a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-75' to each side of the equation. 75 + 8a + -75 + a2 = 0 + -75 Reorder the terms: 75 + -75 + 8a + a2 = 0 + -75 Combine like terms: 75 + -75 = 0 0 + 8a + a2 = 0 + -75 8a + a2 = 0 + -75 Combine like terms: 0 + -75 = -75 8a + a2 = -75 The a term is 8a. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8a + 16 + a2 = -75 + 16 Reorder the terms: 16 + 8a + a2 = -75 + 16 Combine like terms: -75 + 16 = -59 16 + 8a + a2 = -59 Factor a perfect square on the left side: (a + 4)(a + 4) = -59 Can't calculate square root of the right side. The solution to this equation could not be determined.
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