8(25)=x(2x)

Solution for 8(25)=x(2x) equation:

Simplifying
8(25) = x(2x)

Multiply 8 * 25
200 = x(2x)

Remove parenthesis around (2x)
200 = x * 2x

Reorder the terms for easier multiplication:
200 = 2x * x

Multiply x * x
200 = 2x2

Solving
200 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
200 + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
200 + -2x2 = 0

Add '-200' to each side of the equation.
200 + -200 + -2x2 = 0 + -200

Combine like terms: 200 + -200 = 0
0 + -2x2 = 0 + -200
-2x2 = 0 + -200

Combine like terms: 0 + -200 = -200
-2x2 = -200

Divide each side by '-2'.
x2 = 100

Simplifying
x2 = 100

Take the square root of each side:
x = {-10, 10}