(16x)(16x)+(9x)(9x)=14

Solution for (16x)(16x)+(9x)(9x)=14 equation:

Simplifying
(16x)(16x) + (9x)(9x) = 14

Remove parenthesis around (16x)
16x(16x) + (9x)(9x) = 14

Remove parenthesis around (16x)
16x * 16x + (9x)(9x) = 14

Reorder the terms for easier multiplication:
16 * 16x * x + (9x)(9x) = 14

Multiply 16 * 16
256x * x + (9x)(9x) = 14

Multiply x * x
256x2 + (9x)(9x) = 14

Remove parenthesis around (9x)
256x2 + 9x(9x) = 14

Remove parenthesis around (9x)
256x2 + 9x * 9x = 14

Reorder the terms for easier multiplication:
256x2 + 9 * 9x * x = 14

Multiply 9 * 9
256x2 + 81x * x = 14

Multiply x * x
256x2 + 81x2 = 14

Combine like terms: 256x2 + 81x2 = 337x2
337x2 = 14

Solving
337x2 = 14

Solving for variable 'x'.

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

Divide each side by '337'.
x2 = 0.04154302671

Simplifying
x2 = 0.04154302671

Take the square root of each side:
x = {-0.203821065, 0.203821065}