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Simplifying 12a2 + -48a + 64 = 0 Reorder the terms: 64 + -48a + 12a2 = 0 Solving 64 + -48a + 12a2 = 0 Solving for variable 'a'. Factor out the Greatest Common Factor (GCF), '4'. 4(16 + -12a + 3a2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(16 + -12a + 3a2)' equal to zero and attempt to solve: Simplifying 16 + -12a + 3a2 = 0 Solving 16 + -12a + 3a2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 5.333333333 + -4a + a2 = 0 Move the constant term to the right: Add '-5.333333333' to each side of the equation. 5.333333333 + -4a + -5.333333333 + a2 = 0 + -5.333333333 Reorder the terms: 5.333333333 + -5.333333333 + -4a + a2 = 0 + -5.333333333 Combine like terms: 5.333333333 + -5.333333333 = 0.000000000 0.000000000 + -4a + a2 = 0 + -5.333333333 -4a + a2 = 0 + -5.333333333 Combine like terms: 0 + -5.333333333 = -5.333333333 -4a + a2 = -5.333333333 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 = -5.333333333 + 4 Reorder the terms: 4 + -4a + a2 = -5.333333333 + 4 Combine like terms: -5.333333333 + 4 = -1.333333333 4 + -4a + a2 = -1.333333333 Factor a perfect square on the left side: (a + -2)(a + -2) = -1.333333333 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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