x^4+4c^3-7x^2-34x=24

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Solution for x^4+4c^3-7x^2-34x=24 equation: 


Simplifying
x4 + 4c3 + -7x2 + -34x = 24

Reorder the terms:
4c3 + -34x + -7x2 + x4 = 24

Solving
4c3 + -34x + -7x2 + x4 = 24

Solving for variable 'c'.

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

Add '34x' to each side of the equation.
4c3 + -34x + -7x2 + 34x + x4 = 24 + 34x

Reorder the terms:
4c3 + -34x + 34x + -7x2 + x4 = 24 + 34x

Combine like terms: -34x + 34x = 0
4c3 + 0 + -7x2 + x4 = 24 + 34x
4c3 + -7x2 + x4 = 24 + 34x

Add '7x2' to each side of the equation.
4c3 + -7x2 + 7x2 + x4 = 24 + 34x + 7x2

Combine like terms: -7x2 + 7x2 = 0
4c3 + 0 + x4 = 24 + 34x + 7x2
4c3 + x4 = 24 + 34x + 7x2

Add '-1x4' to each side of the equation.
4c3 + x4 + -1x4 = 24 + 34x + 7x2 + -1x4

Combine like terms: x4 + -1x4 = 0
4c3 + 0 = 24 + 34x + 7x2 + -1x4
4c3 = 24 + 34x + 7x2 + -1x4

Divide each side by '4'.
c3 = 6 + 8.5x + 1.75x2 + -0.25x4

Simplifying
c3 = 6 + 8.5x + 1.75x2 + -0.25x4

Reorder the terms:
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 6 + 8.5x + 1.75x2 + -0.25x4 + -6 + -8.5x + -1.75x2 + 0.25x4

Reorder the terms:
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 6 + -6 + 8.5x + -8.5x + 1.75x2 + -1.75x2 + -0.25x4 + 0.25x4

Combine like terms: 6 + -6 = 0
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 0 + 8.5x + -8.5x + 1.75x2 + -1.75x2 + -0.25x4 + 0.25x4
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 8.5x + -8.5x + 1.75x2 + -1.75x2 + -0.25x4 + 0.25x4

Combine like terms: 8.5x + -8.5x = 0.0
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 0.0 + 1.75x2 + -1.75x2 + -0.25x4 + 0.25x4
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 1.75x2 + -1.75x2 + -0.25x4 + 0.25x4

Combine like terms: 1.75x2 + -1.75x2 = 0.00
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 0.00 + -0.25x4 + 0.25x4
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = -0.25x4 + 0.25x4

Combine like terms: -0.25x4 + 0.25x4 = 0.00
-6 + c3 + -8.5x + -1.75x2 + 0.25x4 = 0.00

The solution to this equation could not be determined.

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