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Simplifying 8a2 + 18a + 18 = 0 Reorder the terms: 18 + 18a + 8a2 = 0 Solving 18 + 18a + 8a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(9 + 9a + 4a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + 9a + 4a2)' equal to zero and attempt to solve: Simplifying 9 + 9a + 4a2 = 0 Solving 9 + 9a + 4a2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 2.25 + 2.25a + a2 = 0 Move the constant term to the right: Add '-2.25' to each side of the equation. 2.25 + 2.25a + -2.25 + a2 = 0 + -2.25 Reorder the terms: 2.25 + -2.25 + 2.25a + a2 = 0 + -2.25 Combine like terms: 2.25 + -2.25 = 0.00 0.00 + 2.25a + a2 = 0 + -2.25 2.25a + a2 = 0 + -2.25 Combine like terms: 0 + -2.25 = -2.25 2.25a + a2 = -2.25 The a term is 2.25a. Take half its coefficient (1.125). Square it (1.265625) and add it to both sides. Add '1.265625' to each side of the equation. 2.25a + 1.265625 + a2 = -2.25 + 1.265625 Reorder the terms: 1.265625 + 2.25a + a2 = -2.25 + 1.265625 Combine like terms: -2.25 + 1.265625 = -0.984375 1.265625 + 2.25a + a2 = -0.984375 Factor a perfect square on the left side: (a + 1.125)(a + 1.125) = -0.984375 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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