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Simplifying (a + -2)(a + -2) = -5 Reorder the terms: (-2 + a)(a + -2) = -5 Reorder the terms: (-2 + a)(-2 + a) = -5 Multiply (-2 + a) * (-2 + a) (-2(-2 + a) + a(-2 + a)) = -5 ((-2 * -2 + a * -2) + a(-2 + a)) = -5 ((4 + -2a) + a(-2 + a)) = -5 (4 + -2a + (-2 * a + a * a)) = -5 (4 + -2a + (-2a + a2)) = -5 Combine like terms: -2a + -2a = -4a (4 + -4a + a2) = -5 Solving 4 + -4a + a2 = -5 Solving for variable 'a'. Reorder the terms: 4 + 5 + -4a + a2 = -5 + 5 Combine like terms: 4 + 5 = 9 9 + -4a + a2 = -5 + 5 Combine like terms: -5 + 5 = 0 9 + -4a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-9' to each side of the equation. 9 + -4a + -9 + a2 = 0 + -9 Reorder the terms: 9 + -9 + -4a + a2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -4a + a2 = 0 + -9 -4a + a2 = 0 + -9 Combine like terms: 0 + -9 = -9 -4a + a2 = -9 The a term is -4a. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4a + 4 + a2 = -9 + 4 Reorder the terms: 4 + -4a + a2 = -9 + 4 Combine like terms: -9 + 4 = -5 4 + -4a + a2 = -5 Factor a perfect square on the left side: (a + -2)(a + -2) = -5 Can't calculate square root of the right side. The solution to this equation could not be determined.
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