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Simplifying -1a + -1a2 + -4a + -18 = 0 Reorder the terms: -18 + -1a + -4a + -1a2 = 0 Combine like terms: -1a + -4a = -5a -18 + -5a + -1a2 = 0 Solving -18 + -5a + -1a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '-1'. -1(18 + 5a + a2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(18 + 5a + a2)' equal to zero and attempt to solve: Simplifying 18 + 5a + a2 = 0 Solving 18 + 5a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-18' to each side of the equation. 18 + 5a + -18 + a2 = 0 + -18 Reorder the terms: 18 + -18 + 5a + a2 = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 5a + a2 = 0 + -18 5a + a2 = 0 + -18 Combine like terms: 0 + -18 = -18 5a + a2 = -18 The a term is 5a. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5a + 6.25 + a2 = -18 + 6.25 Reorder the terms: 6.25 + 5a + a2 = -18 + 6.25 Combine like terms: -18 + 6.25 = -11.75 6.25 + 5a + a2 = -11.75 Factor a perfect square on the left side: (a + 2.5)(a + 2.5) = -11.75 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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