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Simplifying 10a + 5a(a + -3) = -12 Reorder the terms: 10a + 5a(-3 + a) = -12 10a + (-3 * 5a + a * 5a) = -12 10a + (-15a + 5a2) = -12 Combine like terms: 10a + -15a = -5a -5a + 5a2 = -12 Solving -5a + 5a2 = -12 Solving for variable 'a'. Reorder the terms: 12 + -5a + 5a2 = -12 + 12 Combine like terms: -12 + 12 = 0 12 + -5a + 5a2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 2.4 + -1a + a2 = 0 Move the constant term to the right: Add '-2.4' to each side of the equation. 2.4 + -1a + -2.4 + a2 = 0 + -2.4 Reorder the terms: 2.4 + -2.4 + -1a + a2 = 0 + -2.4 Combine like terms: 2.4 + -2.4 = 0.0 0.0 + -1a + a2 = 0 + -2.4 -1a + a2 = 0 + -2.4 Combine like terms: 0 + -2.4 = -2.4 -1a + a2 = -2.4 The a term is -1a. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1a + 0.25 + a2 = -2.4 + 0.25 Reorder the terms: 0.25 + -1a + a2 = -2.4 + 0.25 Combine like terms: -2.4 + 0.25 = -2.15 0.25 + -1a + a2 = -2.15 Factor a perfect square on the left side: (a + -0.5)(a + -0.5) = -2.15 Can't calculate square root of the right side. The solution to this equation could not be determined.
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