3a-2a^2=3

Solution for 3a-2a^2=3 equation:

Simplifying
3a + -2a2 = 3

Solving
3a + -2a2 = 3

Solving for variable 'a'.

Reorder the terms:
-3 + 3a + -2a2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 3a + -2a2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
1.5 + -1.5a + a2 = 0

Move the constant term to the right:

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

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

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -1.5a + a2 = 0 + -1.5
-1.5a + a2 = 0 + -1.5

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

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 = -1.5 + 0.5625

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

Combine like terms: -1.5 + 0.5625 = -0.9375
0.5625 + -1.5a + a2 = -0.9375

Factor a perfect square on the left side:
(a + -0.75)(a + -0.75) = -0.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.