5a^2-8ab+3b^2=

Solution for 5a^2-8ab+3b^2= equation:

Simplifying
5a2 + -8ab + 3b2 = 0

Reorder the terms:
-8ab + 5a2 + 3b2 = 0

Solving
-8ab + 5a2 + 3b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -1b)(5a + -3b) = 0

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

Simplifying
a + -1b = 0

Solving
a + -1b = 0

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

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

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

Simplifying
a = b
Subproblem 2
Set the factor '(5a + -3b)' equal to zero and attempt to solve:

Simplifying
5a + -3b = 0

Solving
5a + -3b = 0

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

Add '3b' to each side of the equation.
5a + -3b + 3b = 0 + 3b

Combine like terms: -3b + 3b = 0
5a + 0 = 0 + 3b
5a = 0 + 3b
Remove the zero:
5a = 3b

Divide each side by '5'.
a = 0.6b

Simplifying
a = 0.6b
Solution
a = {b, 0.6b}