5a+3b+7a+4b=0

Solution for 5a+3b+7a+4b=0 equation:

Simplifying
5a + 3b + 7a + 4b = 0

Reorder the terms:
5a + 7a + 3b + 4b = 0

Combine like terms: 5a + 7a = 12a
12a + 3b + 4b = 0

Combine like terms: 3b + 4b = 7b
12a + 7b = 0

Solving
12a + 7b = 0

Solving for variable 'a'.

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

Add '-7b' to each side of the equation.
12a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0
12a + 0 = 0 + -7b
12a = 0 + -7b
Remove the zero:
12a = -7b

Divide each side by '12'.
a = -0.5833333333b

Simplifying
a = -0.5833333333b