x^2-3ax+(4a+1)=0

Solution for x^2-3ax+(4a+1)=0 equation:

Simplifying
x2 + -3ax + (4a + 1) = 0

Reorder the terms:
x2 + -3ax + (1 + 4a) = 0

Remove parenthesis around (1 + 4a)
x2 + -3ax + 1 + 4a = 0

Reorder the terms:
1 + 4a + -3ax + x2 = 0

Solving
1 + 4a + -3ax + x2 = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + 4a + -3ax + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 4a + -3ax + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 4a + -3ax + x2 = 0 + -1
4a + -3ax + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
4a + -3ax + x2 = -1

Add '-1x2' to each side of the equation.
4a + -3ax + x2 + -1x2 = -1 + -1x2

Combine like terms: x2 + -1x2 = 0
4a + -3ax + 0 = -1 + -1x2
4a + -3ax = -1 + -1x2

Reorder the terms:
1 + 4a + -3ax + x2 = -1 + -1x2 + 1 + x2

Reorder the terms:
1 + 4a + -3ax + x2 = -1 + 1 + -1x2 + x2

Combine like terms: -1 + 1 = 0
1 + 4a + -3ax + x2 = 0 + -1x2 + x2
1 + 4a + -3ax + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
1 + 4a + -3ax + x2 = 0

The solution to this equation could not be determined.