x^4+b*x^2+c=0

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Solution for x^4+b*x^2+c=0 equation:


Simplifying
x4 + b * x2 + c = 0

Multiply b * x2
x4 + bx2 + c = 0

Reorder the terms:
bx2 + c + x4 = 0

Solving
bx2 + c + x4 = 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.
bx2 + c + -1c + x4 = 0 + -1c

Combine like terms: c + -1c = 0
bx2 + 0 + x4 = 0 + -1c
bx2 + x4 = 0 + -1c
Remove the zero:
bx2 + x4 = -1c

Add '-1x4' to each side of the equation.
bx2 + x4 + -1x4 = -1c + -1x4

Combine like terms: x4 + -1x4 = 0
bx2 + 0 = -1c + -1x4
bx2 = -1c + -1x4

Divide each side by 'x2'.
b = -1cx-2 + -1x2

Simplifying
b = -1cx-2 + -1x2

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