2a+h^2-2a^2=a

Solution for 2a+h^2-2a^2=a equation:

Simplifying
2a + h2 + -2a2 = a

Reorder the terms:
2a + -2a2 + h2 = a

Solving
2a + -2a2 + h2 = a

Solving for variable 'a'.

Reorder the terms:
2a + -1a + -2a2 + h2 = a + -1a

Combine like terms: 2a + -1a = 1a
1a + -2a2 + h2 = a + -1a

Combine like terms: a + -1a = 0
1a + -2a2 + h2 = 0

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

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

Simplifying
-2a + -1h = 0

Solving
-2a + -1h = 0

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

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

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

Divide each side by '-2'.
a = -0.5h

Simplifying
a = -0.5h
Subproblem 2
Set the factor '(a + -1h)' equal to zero and attempt to solve:

Simplifying
a + -1h = 0

Solving
a + -1h = 0

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

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

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

Simplifying
a = h
Solution
a = {-0.5h, h}