ax^4+bx^3+cx^2+bx+a=0

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Solution for ax^4+bx^3+cx^2+bx+a=0 equation: 


Simplifying
ax4 + bx3 + cx2 + bx + a = 0

Reorder the terms:
a + ax4 + bx + bx3 + cx2 = 0

Solving
a + ax4 + bx + bx3 + cx2 = 0

Solving for variable 'a'.

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

Add '-1bx' to each side of the equation.
a + ax4 + bx + bx3 + -1bx + cx2 = 0 + -1bx

Reorder the terms:
a + ax4 + bx + -1bx + bx3 + cx2 = 0 + -1bx

Combine like terms: bx + -1bx = 0
a + ax4 + 0 + bx3 + cx2 = 0 + -1bx
a + ax4 + bx3 + cx2 = 0 + -1bx
Remove the zero:
a + ax4 + bx3 + cx2 = -1bx

Add '-1bx3' to each side of the equation.
a + ax4 + bx3 + -1bx3 + cx2 = -1bx + -1bx3

Combine like terms: bx3 + -1bx3 = 0
a + ax4 + 0 + cx2 = -1bx + -1bx3
a + ax4 + cx2 = -1bx + -1bx3

Add '-1cx2' to each side of the equation.
a + ax4 + cx2 + -1cx2 = -1bx + -1bx3 + -1cx2

Combine like terms: cx2 + -1cx2 = 0
a + ax4 + 0 = -1bx + -1bx3 + -1cx2
a + ax4 = -1bx + -1bx3 + -1cx2

Reorder the terms:
a + ax4 + bx + bx3 + cx2 = -1bx + bx + -1bx3 + bx3 + -1cx2 + cx2

Combine like terms: -1bx + bx = 0
a + ax4 + bx + bx3 + cx2 = 0 + -1bx3 + bx3 + -1cx2 + cx2
a + ax4 + bx + bx3 + cx2 = -1bx3 + bx3 + -1cx2 + cx2

Combine like terms: -1bx3 + bx3 = 0
a + ax4 + bx + bx3 + cx2 = 0 + -1cx2 + cx2
a + ax4 + bx + bx3 + cx2 = -1cx2 + cx2

Combine like terms: -1cx2 + cx2 = 0
a + ax4 + bx + bx3 + cx2 = 0

The solution to this equation could not be determined.

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