2x^4-2x^3+x^2-5X-10x=0

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Solution for 2x^4-2x^3+x^2-5X-10x=0 equation:


Simplifying
2x4 + -2x3 + x2 + -5X + -10x = 0

Reorder the terms:
-5X + -10x + x2 + -2x3 + 2x4 = 0

Solving
-5X + -10x + x2 + -2x3 + 2x4 = 0

Solving for variable 'X'.

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

Add '10x' to each side of the equation.
-5X + -10x + x2 + -2x3 + 10x + 2x4 = 0 + 10x

Reorder the terms:
-5X + -10x + 10x + x2 + -2x3 + 2x4 = 0 + 10x

Combine like terms: -10x + 10x = 0
-5X + 0 + x2 + -2x3 + 2x4 = 0 + 10x
-5X + x2 + -2x3 + 2x4 = 0 + 10x
Remove the zero:
-5X + x2 + -2x3 + 2x4 = 10x

Add '-1x2' to each side of the equation.
-5X + x2 + -2x3 + -1x2 + 2x4 = 10x + -1x2

Reorder the terms:
-5X + x2 + -1x2 + -2x3 + 2x4 = 10x + -1x2

Combine like terms: x2 + -1x2 = 0
-5X + 0 + -2x3 + 2x4 = 10x + -1x2
-5X + -2x3 + 2x4 = 10x + -1x2

Add '2x3' to each side of the equation.
-5X + -2x3 + 2x3 + 2x4 = 10x + -1x2 + 2x3

Combine like terms: -2x3 + 2x3 = 0
-5X + 0 + 2x4 = 10x + -1x2 + 2x3
-5X + 2x4 = 10x + -1x2 + 2x3

Add '-2x4' to each side of the equation.
-5X + 2x4 + -2x4 = 10x + -1x2 + 2x3 + -2x4

Combine like terms: 2x4 + -2x4 = 0
-5X + 0 = 10x + -1x2 + 2x3 + -2x4
-5X = 10x + -1x2 + 2x3 + -2x4

Divide each side by '-5'.
X = -2x + 0.2x2 + -0.4x3 + 0.4x4

Simplifying
X = -2x + 0.2x2 + -0.4x3 + 0.4x4

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