2x^2+ax+b=0

Solution for 2x^2+ax+b=0 equation:

Simplifying
2x2 + ax + b = 0

Reorder the terms:
ax + b + 2x2 = 0

Solving
ax + b + 2x2 = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
ax + b + -1b + 2x2 = 0 + -1b

Combine like terms: b + -1b = 0
ax + 0 + 2x2 = 0 + -1b
ax + 2x2 = 0 + -1b
Remove the zero:
ax + 2x2 = -1b

Add '-2x2' to each side of the equation.
ax + 2x2 + -2x2 = -1b + -2x2

Combine like terms: 2x2 + -2x2 = 0
ax + 0 = -1b + -2x2
ax = -1b + -2x2

Divide each side by 'x'.
a = -1bx-1 + -2x

Simplifying
a = -1bx-1 + -2x