(2x^2)+ax+b=0

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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)

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