x^2+ax+c=0

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


Simplifying
x2 + ax + c = 0

Reorder the terms:
ax + c + x2 = 0

Solving
ax + c + x2 = 0

Solving for variable 'a'.

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

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

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

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

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

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

Simplifying
a = -1cx-1 + -1x

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