69=.5*x(3x*5)

Solution for 69=.5*x(3x*5) equation:

Simplifying
69 = 0.5x(3x * 5)

Reorder the terms for easier multiplication:
69 = 0.5x(3 * 5x)

Multiply 3 * 5
69 = 0.5x(15x)

Remove parenthesis around (15x)
69 = 0.5x * 15x

Reorder the terms for easier multiplication:
69 = 0.5 * 15x * x

Multiply 0.5 * 15
69 = 7.5x * x

Multiply x * x
69 = 7.5x2

Solving
69 = 7.5x2

Solving for variable 'x'.

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

Add '-7.5x2' to each side of the equation.
69 + -7.5x2 = 7.5x2 + -7.5x2

Combine like terms: 7.5x2 + -7.5x2 = 0.0
69 + -7.5x2 = 0.0

Add '-69' to each side of the equation.
69 + -69 + -7.5x2 = 0.0 + -69

Combine like terms: 69 + -69 = 0
0 + -7.5x2 = 0.0 + -69
-7.5x2 = 0.0 + -69

Combine like terms: 0.0 + -69 = -69
-7.5x2 = -69

Divide each side by '-7.5'.
x2 = 9.2

Simplifying
x2 = 9.2

Take the square root of each side:
x = {-3.033150178, 3.033150178}