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Simplifying -29 = 5(2a + -1) * 2a Reorder the terms: -29 = 5(-1 + 2a) * 2a Reorder the terms for easier multiplication: -29 = 5 * 2a(-1 + 2a) Multiply 5 * 2 -29 = 10a(-1 + 2a) -29 = (-1 * 10a + 2a * 10a) -29 = (-10a + 20a2) Solving -29 = -10a + 20a2 Solving for variable 'a'. Reorder the terms: -29 + 10a + -20a2 = -10a + 10a + 20a2 + -20a2 Combine like terms: -10a + 10a = 0 -29 + 10a + -20a2 = 0 + 20a2 + -20a2 -29 + 10a + -20a2 = 20a2 + -20a2 Combine like terms: 20a2 + -20a2 = 0 -29 + 10a + -20a2 = 0 Begin completing the square. Divide all terms by -20 the coefficient of the squared term: Divide each side by '-20'. 1.45 + -0.5a + a2 = 0 Move the constant term to the right: Add '-1.45' to each side of the equation. 1.45 + -0.5a + -1.45 + a2 = 0 + -1.45 Reorder the terms: 1.45 + -1.45 + -0.5a + a2 = 0 + -1.45 Combine like terms: 1.45 + -1.45 = 0.00 0.00 + -0.5a + a2 = 0 + -1.45 -0.5a + a2 = 0 + -1.45 Combine like terms: 0 + -1.45 = -1.45 -0.5a + a2 = -1.45 The a term is -0.5a. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5a + 0.0625 + a2 = -1.45 + 0.0625 Reorder the terms: 0.0625 + -0.5a + a2 = -1.45 + 0.0625 Combine like terms: -1.45 + 0.0625 = -1.3875 0.0625 + -0.5a + a2 = -1.3875 Factor a perfect square on the left side: (a + -0.25)(a + -0.25) = -1.3875 Can't calculate square root of the right side. The solution to this equation could not be determined.
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