(27x*27x)+(64x*64x)=34*34

Solution for (27x*27x)+(64x*64x)=34*34 equation:

Simplifying
(27x * 27x) + (64x * 64x) = 34 * 34

Reorder the terms for easier multiplication:
(27 * 27x * x) + (64x * 64x) = 34 * 34

Multiply 27 * 27
(729x * x) + (64x * 64x) = 34 * 34

Multiply x * x
(729x2) + (64x * 64x) = 34 * 34

Reorder the terms for easier multiplication:
(729x2) + (64 * 64x * x) = 34 * 34

Multiply 64 * 64
(729x2) + (4096x * x) = 34 * 34

Multiply x * x
(729x2) + (4096x2) = 34 * 34

Combine like terms: (729x2) + (4096x2) = 4825x2
4825x2 = 34 * 34

Multiply 34 * 34
4825x2 = 1156

Solving
4825x2 = 1156

Solving for variable 'x'.

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

Divide each side by '4825'.
x2 = 0.2395854922

Simplifying
x2 = 0.2395854922

Take the square root of each side:
x = {-0.48947471, 0.48947471}