2x(x+8)=16x+50

Solution for 2x(x+8)=16x+50 equation:

Simplifying
2x(x + 8) = 16x + 50

Reorder the terms:
2x(8 + x) = 16x + 50
(8 * 2x + x * 2x) = 16x + 50
(16x + 2x2) = 16x + 50

Reorder the terms:
16x + 2x2 = 50 + 16x

Add '-16x' to each side of the equation.
16x + -16x + 2x2 = 50 + 16x + -16x

Combine like terms: 16x + -16x = 0
0 + 2x2 = 50 + 16x + -16x
2x2 = 50 + 16x + -16x

Combine like terms: 16x + -16x = 0
2x2 = 50 + 0
2x2 = 50

Solving
2x2 = 50

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

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