((16x)*(16x))+((9x)*(9x))=90*2.5

Solution for ((16x)*(16x))+((9x)*(9x))=90*2.5 equation:

Simplifying
((16x)(16x)) + ((9x)(9x)) = 90 * 2.5

Remove parenthesis around (16x)
(16x(16x)) + ((9x)(9x)) = 90 * 2.5

Remove parenthesis around (16x)
(16x * 16x) + ((9x)(9x)) = 90 * 2.5

Reorder the terms for easier multiplication:
(16 * 16x * x) + ((9x)(9x)) = 90 * 2.5

Multiply 16 * 16
(256x * x) + ((9x)(9x)) = 90 * 2.5

Multiply x * x
(256x2) + ((9x)(9x)) = 90 * 2.5

Remove parenthesis around (9x)
(256x2) + (9x(9x)) = 90 * 2.5

Remove parenthesis around (9x)
(256x2) + (9x * 9x) = 90 * 2.5

Reorder the terms for easier multiplication:
(256x2) + (9 * 9x * x) = 90 * 2.5

Multiply 9 * 9
(256x2) + (81x * x) = 90 * 2.5

Multiply x * x
(256x2) + (81x2) = 90 * 2.5

Combine like terms: (256x2) + (81x2) = 337x2
337x2 = 90 * 2.5

Multiply 90 * 2.5
337x2 = 225

Solving
337x2 = 225

Solving for variable 'x'.

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

Divide each side by '337'.
x2 = 0.6676557864

Simplifying
x2 = 0.6676557864

Take the square root of each side:
x = {-0.817102066, 0.817102066}