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Simplifying a(a + -6) = -10 Reorder the terms: a(-6 + a) = -10 (-6 * a + a * a) = -10 (-6a + a2) = -10 Solving -6a + a2 = -10 Solving for variable 'a'. Reorder the terms: 10 + -6a + a2 = -10 + 10 Combine like terms: -10 + 10 = 0 10 + -6a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + -6a + -10 + a2 = 0 + -10 Reorder the terms: 10 + -10 + -6a + a2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -6a + a2 = 0 + -10 -6a + a2 = 0 + -10 Combine like terms: 0 + -10 = -10 -6a + a2 = -10 The a term is -6a. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6a + 9 + a2 = -10 + 9 Reorder the terms: 9 + -6a + a2 = -10 + 9 Combine like terms: -10 + 9 = -1 9 + -6a + a2 = -1 Factor a perfect square on the left side: (a + -3)(a + -3) = -1 Can't calculate square root of the right side. The solution to this equation could not be determined.
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