-3(2a-1)a=4

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Solution for -3(2a-1)a=4 equation:


Simplifying
-3(2a + -1) * a = 4

Reorder the terms:
-3(-1 + 2a) * a = 4

Reorder the terms for easier multiplication:
-3a(-1 + 2a) = 4
(-1 * -3a + 2a * -3a) = 4
(3a + -6a2) = 4

Solving
3a + -6a2 = 4

Solving for variable 'a'.

Reorder the terms:
-4 + 3a + -6a2 = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 3a + -6a2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.6666666667 + -0.5a + a2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + -0.5a + -0.6666666667 + a2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + -0.5a + a2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + -0.5a + a2 = 0 + -0.6666666667
-0.5a + a2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
-0.5a + a2 = -0.6666666667

The a term is -0.5a.  Take half its coefficient (-0.25).
Square it (0.0625) and add it to both sides.

Add '0.0625' to each side of the equation.
-0.5a + 0.0625 + a2 = -0.6666666667 + 0.0625

Reorder the terms:
0.0625 + -0.5a + a2 = -0.6666666667 + 0.0625

Combine like terms: -0.6666666667 + 0.0625 = -0.6041666667
0.0625 + -0.5a + a2 = -0.6041666667

Factor a perfect square on the left side:
(a + -0.25)(a + -0.25) = -0.6041666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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