16a^2-56ab+49b^2=0

Solution for 16a^2-56ab+49b^2=0 equation:

Simplifying
16a2 + -56ab + 49b2 = 0

Reorder the terms:
-56ab + 16a2 + 49b2 = 0

Solving
-56ab + 16a2 + 49b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(4a + -7b)(4a + -7b) = 0

Subproblem 1
Set the factor '(4a + -7b)' equal to zero and attempt to solve:

Simplifying
4a + -7b = 0

Solving
4a + -7b = 0

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

Add '7b' to each side of the equation.
4a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
4a + 0 = 0 + 7b
4a = 0 + 7b
Remove the zero:
4a = 7b

Divide each side by '4'.
a = 1.75b

Simplifying
a = 1.75b
Subproblem 2
Set the factor '(4a + -7b)' equal to zero and attempt to solve:

Simplifying
4a + -7b = 0

Solving
4a + -7b = 0

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

Add '7b' to each side of the equation.
4a + -7b + 7b = 0 + 7b

Combine like terms: -7b + 7b = 0
4a + 0 = 0 + 7b
4a = 0 + 7b
Remove the zero:
4a = 7b

Divide each side by '4'.
a = 1.75b

Simplifying
a = 1.75b
Solution
a = {1.75b, 1.75b}