x(x-2)+2(2x-1)=x^2+4

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Solution for x(x-2)+2(2x-1)=x^2+4 equation: 


Simplifying
x(x + -2) + 2(2x + -1) = x2 + 4

Reorder the terms:
x(-2 + x) + 2(2x + -1) = x2 + 4
(-2 * x + x * x) + 2(2x + -1) = x2 + 4
(-2x + x2) + 2(2x + -1) = x2 + 4

Reorder the terms:
-2x + x2 + 2(-1 + 2x) = x2 + 4
-2x + x2 + (-1 * 2 + 2x * 2) = x2 + 4
-2x + x2 + (-2 + 4x) = x2 + 4

Reorder the terms:
-2 + -2x + 4x + x2 = x2 + 4

Combine like terms: -2x + 4x = 2x
-2 + 2x + x2 = x2 + 4

Reorder the terms:
-2 + 2x + x2 = 4 + x2

Add '-1x2' to each side of the equation.
-2 + 2x + x2 + -1x2 = 4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 2x + 0 = 4 + x2 + -1x2
-2 + 2x = 4 + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-2 + 2x = 4 + 0
-2 + 2x = 4

Solving
-2 + 2x = 4

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 2x = 4 + 2

Combine like terms: -2 + 2 = 0
0 + 2x = 4 + 2
2x = 4 + 2

Combine like terms: 4 + 2 = 6
2x = 6

Divide each side by '2'.
x = 3

Simplifying
x = 3

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