0=a^2-14ab+48b^2

Solution for 0=a^2-14ab+48b^2 equation:

Simplifying
0 = a2 + -14ab + 48b2

Reorder the terms:
0 = -14ab + a2 + 48b2

Solving
0 = -14ab + a2 + 48b2

Solving for variable 'a'.
Remove the zero:
14ab + -1a2 + -48b2 = -14ab + a2 + 48b2 + 14ab + -1a2 + -48b2

Reorder the terms:
14ab + -1a2 + -48b2 = -14ab + 14ab + a2 + -1a2 + 48b2 + -48b2

Combine like terms: -14ab + 14ab = 0
14ab + -1a2 + -48b2 = 0 + a2 + -1a2 + 48b2 + -48b2
14ab + -1a2 + -48b2 = a2 + -1a2 + 48b2 + -48b2

Combine like terms: a2 + -1a2 = 0
14ab + -1a2 + -48b2 = 0 + 48b2 + -48b2
14ab + -1a2 + -48b2 = 48b2 + -48b2

Combine like terms: 48b2 + -48b2 = 0
14ab + -1a2 + -48b2 = 0

Factor a trinomial.
(-1a + 6b)(a + -8b) = 0

Subproblem 1
Set the factor '(-1a + 6b)' equal to zero and attempt to solve:

Simplifying
-1a + 6b = 0

Solving
-1a + 6b = 0

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

Add '-6b' to each side of the equation.
-1a + 6b + -6b = 0 + -6b

Combine like terms: 6b + -6b = 0
-1a + 0 = 0 + -6b
-1a = 0 + -6b
Remove the zero:
-1a = -6b

Divide each side by '-1'.
a = 6b

Simplifying
a = 6b
Subproblem 2
Set the factor '(a + -8b)' equal to zero and attempt to solve:

Simplifying
a + -8b = 0

Solving
a + -8b = 0

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

Add '8b' to each side of the equation.
a + -8b + 8b = 0 + 8b

Combine like terms: -8b + 8b = 0
a + 0 = 0 + 8b
a = 0 + 8b
Remove the zero:
a = 8b

Simplifying
a = 8b
Solution
a = {6b, 8b}