ax^4+bx^3+1=0

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Solution for ax^4+bx^3+1=0 equation:


Simplifying
ax4 + bx3 + 1 = 0

Reorder the terms:
1 + ax4 + bx3 = 0

Solving
1 + ax4 + bx3 = 0

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + ax4 + -1 + bx3 = 0 + -1

Reorder the terms:
1 + -1 + ax4 + bx3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + ax4 + bx3 = 0 + -1
ax4 + bx3 = 0 + -1

Combine like terms: 0 + -1 = -1
ax4 + bx3 = -1

Add '-1bx3' to each side of the equation.
ax4 + bx3 + -1bx3 = -1 + -1bx3

Combine like terms: bx3 + -1bx3 = 0
ax4 + 0 = -1 + -1bx3
ax4 = -1 + -1bx3

Divide each side by 'x4'.
a = -1x-4 + -1bx-1

Simplifying
a = -1x-4 + -1bx-1

Reorder the terms:
a = -1bx-1 + -1x-4

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