4a^2-6a+3=0

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Solution for 4a^2-6a+3=0 equation:


Simplifying
4a2 + -6a + 3 = 0

Reorder the terms:
3 + -6a + 4a2 = 0

Solving
3 + -6a + 4a2 = 0

Solving for variable 'a'.

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

Divide each side by '4'.
0.75 + -1.5a + a2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + -1.5a + -0.75 + a2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + -1.5a + a2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + -1.5a + a2 = 0 + -0.75
-1.5a + a2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
-1.5a + a2 = -0.75

The a term is -1.5a.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5a + 0.5625 + a2 = -0.75 + 0.5625

Reorder the terms:
0.5625 + -1.5a + a2 = -0.75 + 0.5625

Combine like terms: -0.75 + 0.5625 = -0.1875
0.5625 + -1.5a + a2 = -0.1875

Factor a perfect square on the left side:
(a + -0.75)(a + -0.75) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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