ex^2+bx+c=0

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Solution for ex^2+bx+c=0 equation:


Simplifying
ex2 + bx + c = 0

Reorder the terms:
bx + c + ex2 = 0

Solving
bx + c + ex2 = 0

Solving for variable 'b'.

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

Add '-1c' to each side of the equation.
bx + c + -1c + ex2 = 0 + -1c

Combine like terms: c + -1c = 0
bx + 0 + ex2 = 0 + -1c
bx + ex2 = 0 + -1c
Remove the zero:
bx + ex2 = -1c

Add '-1ex2' to each side of the equation.
bx + ex2 + -1ex2 = -1c + -1ex2

Combine like terms: ex2 + -1ex2 = 0
bx + 0 = -1c + -1ex2
bx = -1c + -1ex2

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

Simplifying
b = -1cx-1 + -1ex

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