2X^4+x^3-8x^2+10x-7=0

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Solution for 2X^4+x^3-8x^2+10x-7=0 equation: 


Simplifying
2X4 + x3 + -8x2 + 10x + -7 = 0

Reorder the terms:
-7 + 2X4 + 10x + -8x2 + x3 = 0

Solving
-7 + 2X4 + 10x + -8x2 + x3 = 0

Solving for variable 'X'.

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

Add '7' to each side of the equation.
-7 + 2X4 + 10x + -8x2 + 7 + x3 = 0 + 7

Reorder the terms:
-7 + 7 + 2X4 + 10x + -8x2 + x3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 2X4 + 10x + -8x2 + x3 = 0 + 7
2X4 + 10x + -8x2 + x3 = 0 + 7

Combine like terms: 0 + 7 = 7
2X4 + 10x + -8x2 + x3 = 7

Add '-10x' to each side of the equation.
2X4 + 10x + -8x2 + -10x + x3 = 7 + -10x

Reorder the terms:
2X4 + 10x + -10x + -8x2 + x3 = 7 + -10x

Combine like terms: 10x + -10x = 0
2X4 + 0 + -8x2 + x3 = 7 + -10x
2X4 + -8x2 + x3 = 7 + -10x

Add '8x2' to each side of the equation.
2X4 + -8x2 + 8x2 + x3 = 7 + -10x + 8x2

Combine like terms: -8x2 + 8x2 = 0
2X4 + 0 + x3 = 7 + -10x + 8x2
2X4 + x3 = 7 + -10x + 8x2

Add '-1x3' to each side of the equation.
2X4 + x3 + -1x3 = 7 + -10x + 8x2 + -1x3

Combine like terms: x3 + -1x3 = 0
2X4 + 0 = 7 + -10x + 8x2 + -1x3
2X4 = 7 + -10x + 8x2 + -1x3

Divide each side by '2'.
X4 = 3.5 + -5x + 4x2 + -0.5x3

Simplifying
X4 = 3.5 + -5x + 4x2 + -0.5x3

Reorder the terms:
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 3.5 + -5x + 4x2 + -0.5x3 + -3.5 + 5x + -4x2 + 0.5x3

Reorder the terms:
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 3.5 + -3.5 + -5x + 5x + 4x2 + -4x2 + -0.5x3 + 0.5x3

Combine like terms: 3.5 + -3.5 = 0.0
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 0.0 + -5x + 5x + 4x2 + -4x2 + -0.5x3 + 0.5x3
-3.5 + X4 + 5x + -4x2 + 0.5x3 = -5x + 5x + 4x2 + -4x2 + -0.5x3 + 0.5x3

Combine like terms: -5x + 5x = 0
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 0 + 4x2 + -4x2 + -0.5x3 + 0.5x3
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 4x2 + -4x2 + -0.5x3 + 0.5x3

Combine like terms: 4x2 + -4x2 = 0
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 0 + -0.5x3 + 0.5x3
-3.5 + X4 + 5x + -4x2 + 0.5x3 = -0.5x3 + 0.5x3

Combine like terms: -0.5x3 + 0.5x3 = 0.0
-3.5 + X4 + 5x + -4x2 + 0.5x3 = 0.0

The solution to this equation could not be determined.

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