36a^2-36a+96=0

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Solution for 36a^2-36a+96=0 equation: 


Simplifying
36a2 + -36a + 96 = 0

Reorder the terms:
96 + -36a + 36a2 = 0

Solving
96 + -36a + 36a2 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), '12'.
12(8 + -3a + 3a2) = 0

Ignore the factor 12.

Subproblem 1
Set the factor '(8 + -3a + 3a2)' equal to zero and attempt to solve:

Simplifying
8 + -3a + 3a2 = 0

Solving
8 + -3a + 3a2 = 0

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
2.666666667 + -1a + a2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + -1a + -2.666666667 + a2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + -1a + a2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + -1a + a2 = 0 + -2.666666667
-1a + a2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
-1a + a2 = -2.666666667

The a term is -1a.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1a + 0.25 + a2 = -2.666666667 + 0.25

Reorder the terms:
0.25 + -1a + a2 = -2.666666667 + 0.25

Combine like terms: -2.666666667 + 0.25 = -2.416666667
0.25 + -1a + a2 = -2.416666667

Factor a perfect square on the left side:
(a + -0.5)(a + -0.5) = -2.416666667

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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