x^2+ax+b=0

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


Simplifying
x2 + ax + b = 0

Reorder the terms:
ax + b + x2 = 0

Solving
ax + b + x2 = 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 + x2 = 0 + -1b

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

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

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

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

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

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