x(x+x)-50=0

Solution for x(x+x)-50=0 equation:

Simplifying
x(x + x) + -50 = 0

Combine like terms: x + x = 2x
x(2x) + -50 = 0

Remove parenthesis around (2x)
x * 2x + -50 = 0

Reorder the terms for easier multiplication:
2x * x + -50 = 0

Multiply x * x
2x2 + -50 = 0

Reorder the terms:
-50 + 2x2 = 0

Solving
-50 + 2x2 = 0

Solving for variable 'x'.

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

Add '50' to each side of the equation.
-50 + 50 + 2x2 = 0 + 50

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

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

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}