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

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


Simplifying
2a2 + 2b2 + -5ab = 0

Reorder the terms:
-5ab + 2a2 + 2b2 = 0

Solving
-5ab + 2a2 + 2b2 = 0

Solving for variable 'a'.

Factor a trinomial.
(a + -2b)(2a + -1b) = 0


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

Simplifying
a + -2b = 0

Solving
a + -2b = 0

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

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

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

Simplifying
a = 2b

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

Simplifying
2a + -1b = 0

Solving
2a + -1b = 0

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

Add 'b' to each side of the equation.
2a + -1b + b = 0 + b

Combine like terms: -1b + b = 0
2a + 0 = 0 + b
2a = 0 + b
Remove the zero:
2a = b

Divide each side by '2'.
a = 0.5b

Simplifying
a = 0.5b
Solution
a = {2b, 0.5b}

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