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

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


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

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

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

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

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

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

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

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

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

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

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

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

Multiply 90 * 2.5
337x2 = (225)(90 * 2.5)

Multiply 90 * 2.5
337x2 = 225(225)

Multiply 225 * 225
337x2 = 50625

Solving
337x2 = 50625

Solving for variable 'x'.

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

Divide each side by '337'.
x2 = 150.2225519

Simplifying
x2 = 150.2225519

Take the square root of each side:
x = {-12.25653099, 12.25653099}

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