(x+14x)(x+14x)=52

Solution for (x+14x)(x+14x)=52 equation:

Simplifying
(x + 14x)(x + 14x) = 52

Combine like terms: x + 14x = 15x
(15x)(x + 14x) = 52

Remove parenthesis around (15x)
15x(x + 14x) = 52

Combine like terms: x + 14x = 15x
15x(15x) = 52

Remove parenthesis around (15x)
15x * 15x = 52

Reorder the terms for easier multiplication:
15 * 15x * x = 52

Multiply 15 * 15
225x * x = 52

Multiply x * x
225x2 = 52

Solving
225x2 = 52

Solving for variable 'x'.

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

Divide each side by '225'.
x2 = 0.2311111111

Simplifying
x2 = 0.2311111111

Take the square root of each side:
x = {-0.48074017, 0.48074017}