15a^2-16ab+4b^2=0

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Solution for 15a^2-16ab+4b^2=0 equation: 


Simplifying
15a2 + -16ab + 4b2 = 0

Reorder the terms:
-16ab + 15a2 + 4b2 = 0

Solving
-16ab + 15a2 + 4b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(3a + -2b)(5a + -2b) = 0


Subproblem 1
Set the factor '(3a + -2b)' equal to zero and attempt to solve:

Simplifying
3a + -2b = 0

Solving
3a + -2b = 0

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

Add '2b' to each side of the equation.
3a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
3a + 0 = 0 + 2b
3a = 0 + 2b
Remove the zero:
3a = 2b

Divide each side by '3'.
a = 0.6666666667b

Simplifying
a = 0.6666666667b

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

Simplifying
5a + -2b = 0

Solving
5a + -2b = 0

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

Add '2b' to each side of the equation.
5a + -2b + 2b = 0 + 2b

Combine like terms: -2b + 2b = 0
5a + 0 = 0 + 2b
5a = 0 + 2b
Remove the zero:
5a = 2b

Divide each side by '5'.
a = 0.4b

Simplifying
a = 0.4b
Solution
a = {0.6666666667b, 0.4b}

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