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Simplifying 18 + -6a = 4a + -1a(a + 3) Reorder the terms: 18 + -6a = 4a + -1a(3 + a) 18 + -6a = 4a + (3 * -1a + a * -1a) 18 + -6a = 4a + (-3a + -1a2) Combine like terms: 4a + -3a = 1a 18 + -6a = 1a + -1a2 Solving 18 + -6a = 1a + -1a2 Solving for variable 'a'. Combine like terms: -6a + -1a = -7a 18 + -7a + a2 = 1a + -1a2 + -1a + a2 Reorder the terms: 18 + -7a + a2 = 1a + -1a + -1a2 + a2 Combine like terms: 1a + -1a = 0 18 + -7a + a2 = 0 + -1a2 + a2 18 + -7a + a2 = -1a2 + a2 Combine like terms: -1a2 + a2 = 0 18 + -7a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + -7a + -18 + a2 = 0 + -18 Reorder the terms: 18 + -18 + -7a + a2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -7a + a2 = 0 + -18 -7a + a2 = 0 + -18 Combine like terms: 0 + -18 = -18 -7a + a2 = -18 The a term is -7a. Take half its coefficient (-3.5). Square it (12.25) and add it to both sides. Add '12.25' to each side of the equation. -7a + 12.25 + a2 = -18 + 12.25 Reorder the terms: 12.25 + -7a + a2 = -18 + 12.25 Combine like terms: -18 + 12.25 = -5.75 12.25 + -7a + a2 = -5.75 Factor a perfect square on the left side: (a + -3.5)(a + -3.5) = -5.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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