4a+3b+1=0

Solution for 4a+3b+1=0 equation:

Simplifying
4a + 3b + 1 = 0

Reorder the terms:
1 + 4a + 3b = 0

Solving
1 + 4a + 3b = 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 + -1 + 3b = 0 + -1

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

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

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

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

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

Divide each side by '4'.
a = -0.25 + -0.75b

Simplifying
a = -0.25 + -0.75b