2x+50=x(x+2)

Solution for 2x+50=x(x+2) equation:

Simplifying
2x + 50 = x(x + 2)

Reorder the terms:
50 + 2x = x(x + 2)

Reorder the terms:
50 + 2x = x(2 + x)
50 + 2x = (2 * x + x * x)
50 + 2x = (2x + x2)

Add '-2x' to each side of the equation.
50 + 2x + -2x = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
50 + 0 = 2x + -2x + x2
50 = 2x + -2x + x2

Combine like terms: 2x + -2x = 0
50 = 0 + x2
50 = x2

Solving
50 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
50 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
50 + -1x2 = 0

Add '-50' to each side of the equation.
50 + -50 + -1x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + -1x2 = 0 + -50
-1x2 = 0 + -50

Combine like terms: 0 + -50 = -50
-1x2 = -50

Divide each side by '-1'.
x2 = 50

Simplifying
x2 = 50

Take the square root of each side:
x = {-7.071067812, 7.071067812}