512=(8x)2+(15x)2

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Solution for 512=(8x)2+(15x)2 equation:


Simplifying
512 = (8x) * 2 + (15x) * 2

Remove parenthesis around (8x)
512 = 8x * 2 + (15x) * 2

Reorder the terms for easier multiplication:
512 = 8 * 2x + (15x) * 2

Multiply 8 * 2
512 = 16x + (15x) * 2

Remove parenthesis around (15x)
512 = 16x + 15x * 2

Reorder the terms for easier multiplication:
512 = 16x + 15 * 2x

Multiply 15 * 2
512 = 16x + 30x

Combine like terms: 16x + 30x = 46x
512 = 46x

Solving
512 = 46x

Solving for variable 'x'.

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

Add '-46x' to each side of the equation.
512 + -46x = 46x + -46x

Combine like terms: 46x + -46x = 0
512 + -46x = 0

Add '-512' to each side of the equation.
512 + -512 + -46x = 0 + -512

Combine like terms: 512 + -512 = 0
0 + -46x = 0 + -512
-46x = 0 + -512

Combine like terms: 0 + -512 = -512
-46x = -512

Divide each side by '-46'.
x = 11.13043478

Simplifying
x = 11.13043478

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