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Simplifying 2a2 + 8a = -22 Reorder the terms: 8a + 2a2 = -22 Solving 8a + 2a2 = -22 Solving for variable 'a'. Reorder the terms: 22 + 8a + 2a2 = -22 + 22 Combine like terms: -22 + 22 = 0 22 + 8a + 2a2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(11 + 4a + a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(11 + 4a + a2)' equal to zero and attempt to solve: Simplifying 11 + 4a + a2 = 0 Solving 11 + 4a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-11' to each side of the equation. 11 + 4a + -11 + a2 = 0 + -11 Reorder the terms: 11 + -11 + 4a + a2 = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4a + a2 = 0 + -11 4a + a2 = 0 + -11 Combine like terms: 0 + -11 = -11 4a + a2 = -11 The a term is 4a. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4a + 4 + a2 = -11 + 4 Reorder the terms: 4 + 4a + a2 = -11 + 4 Combine like terms: -11 + 4 = -7 4 + 4a + a2 = -7 Factor a perfect square on the left side: (a + 2)(a + 2) = -7 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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