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Simplifying 2a2 + 16a = -36 Reorder the terms: 16a + 2a2 = -36 Solving 16a + 2a2 = -36 Solving for variable 'a'. Reorder the terms: 36 + 16a + 2a2 = -36 + 36 Combine like terms: -36 + 36 = 0 36 + 16a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(18 + 8a + a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(18 + 8a + a2)' equal to zero and attempt to solve: Simplifying 18 + 8a + a2 = 0 Solving 18 + 8a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 8a + -18 + a2 = 0 + -18 Reorder the terms: 18 + -18 + 8a + a2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8a + a2 = 0 + -18 8a + a2 = 0 + -18 Combine like terms: 0 + -18 = -18 8a + a2 = -18 The a term is 8a. Take half its coefficient (4). Square it (16) and add it to both sides. Add '16' to each side of the equation. 8a + 16 + a2 = -18 + 16 Reorder the terms: 16 + 8a + a2 = -18 + 16 Combine like terms: -18 + 16 = -2 16 + 8a + a2 = -2 Factor a perfect square on the left side: (a + 4)(a + 4) = -2 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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