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Simplifying 76a2 + 34a + 4 = 0 Reorder the terms: 4 + 34a + 76a2 = 0 Solving 4 + 34a + 76a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '2'. 2(2 + 17a + 38a2) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + 17a + 38a2)' equal to zero and attempt to solve: Simplifying 2 + 17a + 38a2 = 0 Solving 2 + 17a + 38a2 = 0 Begin completing the square. Divide all terms by 38 the coefficient of the squared term: Divide each side by '38'. 0.05263157895 + 0.4473684211a + a2 = 0 Move the constant term to the right: Add '-0.05263157895' to each side of the equation. 0.05263157895 + 0.4473684211a + -0.05263157895 + a2 = 0 + -0.05263157895 Reorder the terms: 0.05263157895 + -0.05263157895 + 0.4473684211a + a2 = 0 + -0.05263157895 Combine like terms: 0.05263157895 + -0.05263157895 = 0.00000000000 0.00000000000 + 0.4473684211a + a2 = 0 + -0.05263157895 0.4473684211a + a2 = 0 + -0.05263157895 Combine like terms: 0 + -0.05263157895 = -0.05263157895 0.4473684211a + a2 = -0.05263157895 The a term is 0.4473684211a. Take half its coefficient (0.2236842106). Square it (0.05003462607) and add it to both sides. Add '0.05003462607' to each side of the equation. 0.4473684211a + 0.05003462607 + a2 = -0.05263157895 + 0.05003462607 Reorder the terms: 0.05003462607 + 0.4473684211a + a2 = -0.05263157895 + 0.05003462607 Combine like terms: -0.05263157895 + 0.05003462607 = -0.00259695288 0.05003462607 + 0.4473684211a + a2 = -0.00259695288 Factor a perfect square on the left side: (a + 0.2236842106)(a + 0.2236842106) = -0.00259695288 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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