aw^2+bw+c=0

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Solution for aw^2+bw+c=0 equation:


Simplifying
aw2 + bw + c = 0

Solving
aw2 + bw + c = 0

Solving for variable 'a'.

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

Add '-1bw' to each side of the equation.
aw2 + bw + -1bw + c = 0 + -1bw

Combine like terms: bw + -1bw = 0
aw2 + 0 + c = 0 + -1bw
aw2 + c = 0 + -1bw
Remove the zero:
aw2 + c = -1bw

Add '-1c' to each side of the equation.
aw2 + c + -1c = -1bw + -1c

Combine like terms: c + -1c = 0
aw2 + 0 = -1bw + -1c
aw2 = -1bw + -1c

Divide each side by 'w2'.
a = -1bw-1 + -1cw-2

Simplifying
a = -1bw-1 + -1cw-2

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