300=x(8x)

Solution for 300=x(8x) equation:

Simplifying
300 = x(8x)

Remove parenthesis around (8x)
300 = x * 8x

Reorder the terms for easier multiplication:
300 = 8x * x

Multiply x * x
300 = 8x2

Solving
300 = 8x2

Solving for variable 'x'.

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

Add '-8x2' to each side of the equation.
300 + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
300 + -8x2 = 0

Add '-300' to each side of the equation.
300 + -300 + -8x2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -8x2 = 0 + -300
-8x2 = 0 + -300

Combine like terms: 0 + -300 = -300
-8x2 = -300

Divide each side by '-8'.
x2 = 37.5

Simplifying
x2 = 37.5

Take the square root of each side:
x = {-6.123724357, 6.123724357}