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Simplifying 2a2 + -16a + 252 = 0 Reorder the terms: 252 + -16a + 2a2 = 0 Solving 252 + -16a + 2a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(126 + -8a + a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(126 + -8a + a2)' equal to zero and attempt to solve: Simplifying 126 + -8a + a2 = 0 Solving 126 + -8a + a2 = 0 Begin completing the square. Move the constant term to the right: Add '-126' to each side of the equation. 126 + -8a + -126 + a2 = 0 + -126 Reorder the terms: 126 + -126 + -8a + a2 = 0 + -126 Combine like terms: 126 + -126 = 0 0 + -8a + a2 = 0 + -126 -8a + a2 = 0 + -126 Combine like terms: 0 + -126 = -126 -8a + a2 = -126 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 = -126 + 16 Reorder the terms: 16 + -8a + a2 = -126 + 16 Combine like terms: -126 + 16 = -110 16 + -8a + a2 = -110 Factor a perfect square on the left side: (a + -4)(a + -4) = -110 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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