X^2+4x-x^2-2x=20

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Solution for X^2+4x-x^2-2x=20 equation:


Simplifying
X2 + 4x + -1x2 + -2x = 20

Reorder the terms:
X2 + 4x + -2x + -1x2 = 20

Combine like terms: 4x + -2x = 2x
X2 + 2x + -1x2 = 20

Solving
X2 + 2x + -1x2 = 20

Solving for variable 'X'.

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

Add '-2x' to each side of the equation.
X2 + 2x + -2x + -1x2 = 20 + -2x

Combine like terms: 2x + -2x = 0
X2 + 0 + -1x2 = 20 + -2x
X2 + -1x2 = 20 + -2x

Add 'x2' to each side of the equation.
X2 + -1x2 + x2 = 20 + -2x + x2

Combine like terms: -1x2 + x2 = 0
X2 + 0 = 20 + -2x + x2
X2 = 20 + -2x + x2

Simplifying
X2 = 20 + -2x + x2

Reorder the terms:
-20 + X2 + 2x + -1x2 = 20 + -2x + x2 + -20 + 2x + -1x2

Reorder the terms:
-20 + X2 + 2x + -1x2 = 20 + -20 + -2x + 2x + x2 + -1x2

Combine like terms: 20 + -20 = 0
-20 + X2 + 2x + -1x2 = 0 + -2x + 2x + x2 + -1x2
-20 + X2 + 2x + -1x2 = -2x + 2x + x2 + -1x2

Combine like terms: -2x + 2x = 0
-20 + X2 + 2x + -1x2 = 0 + x2 + -1x2
-20 + X2 + 2x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-20 + X2 + 2x + -1x2 = 0

The solution to this equation could not be determined.

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