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Simplifying 16a2 + -2a + 8 = 0 Reorder the terms: 8 + -2a + 16a2 = 0 Solving 8 + -2a + 16a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -1a + 8a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -1a + 8a2)' equal to zero and attempt to solve: Simplifying 4 + -1a + 8a2 = 0 Solving 4 + -1a + 8a2 = 0 Begin completing the square. Divide all terms by 8 the coefficient of the squared term: Divide each side by '8'. 0.5 + -0.125a + a2 = 0 Move the constant term to the right: Add '-0.5' to each side of the equation. 0.5 + -0.125a + -0.5 + a2 = 0 + -0.5 Reorder the terms: 0.5 + -0.5 + -0.125a + a2 = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.125a + a2 = 0 + -0.5 -0.125a + a2 = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 -0.125a + a2 = -0.5 The a term is -0.125a. Take half its coefficient (-0.0625). Square it (0.00390625) and add it to both sides. Add '0.00390625' to each side of the equation. -0.125a + 0.00390625 + a2 = -0.5 + 0.00390625 Reorder the terms: 0.00390625 + -0.125a + a2 = -0.5 + 0.00390625 Combine like terms: -0.5 + 0.00390625 = -0.49609375 0.00390625 + -0.125a + a2 = -0.49609375 Factor a perfect square on the left side: (a + -0.0625)(a + -0.0625) = -0.49609375 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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