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Simplifying 18 + -24a + 9a2 = 0 Solving 18 + -24a + 9a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '3'. 3(6 + -8a + 3a2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(6 + -8a + 3a2)' equal to zero and attempt to solve: Simplifying 6 + -8a + 3a2 = 0 Solving 6 + -8a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 2 + -2.666666667a + a2 = 0 Move the constant term to the right: Add '-2' to each side of the equation. 2 + -2.666666667a + -2 + a2 = 0 + -2 Reorder the terms: 2 + -2 + -2.666666667a + a2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -2.666666667a + a2 = 0 + -2 -2.666666667a + a2 = 0 + -2 Combine like terms: 0 + -2 = -2 -2.666666667a + a2 = -2 The a term is -2.666666667a. Take half its coefficient (-1.333333334). Square it (1.777777780) and add it to both sides. Add '1.777777780' to each side of the equation. -2.666666667a + 1.777777780 + a2 = -2 + 1.777777780 Reorder the terms: 1.777777780 + -2.666666667a + a2 = -2 + 1.777777780 Combine like terms: -2 + 1.777777780 = -0.22222222 1.777777780 + -2.666666667a + a2 = -0.22222222 Factor a perfect square on the left side: (a + -1.333333334)(a + -1.333333334) = -0.22222222 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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