((7a)(7a))+((3a)(3a))=(29)29

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Solution for ((7a)(7a))+((3a)(3a))=(29)29 equation: 


Simplifying
((7a)(7a)) + ((3a)(3a)) = (29) * 29

Remove parenthesis around (7a)
(7a(7a)) + ((3a)(3a)) = (29) * 29

Remove parenthesis around (7a)
(7a * 7a) + ((3a)(3a)) = (29) * 29

Reorder the terms for easier multiplication:
(7 * 7a * a) + ((3a)(3a)) = (29) * 29

Multiply 7 * 7
(49a * a) + ((3a)(3a)) = (29) * 29

Multiply a * a
(49a2) + ((3a)(3a)) = (29) * 29

Remove parenthesis around (3a)
(49a2) + (3a(3a)) = (29) * 29

Remove parenthesis around (3a)
(49a2) + (3a * 3a) = (29) * 29

Reorder the terms for easier multiplication:
(49a2) + (3 * 3a * a) = (29) * 29

Multiply 3 * 3
(49a2) + (9a * a) = (29) * 29

Multiply a * a
(49a2) + (9a2) = (29) * 29

Combine like terms: (49a2) + (9a2) = 58a2
58a2 = (29) * 29

Multiply 29 * 29
58a2 = 841

Solving
58a2 = 841

Solving for variable 'a'.

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

Divide each side by '58'.
a2 = 14.5

Simplifying
a2 = 14.5

Take the square root of each side:
a = {-3.807886553, 3.807886553}

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