((a)(a))+(12.4)(12.4)=(15)(15)

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Solution for ((a)(a))+(12.4)(12.4)=(15)(15) equation: 


Simplifying
((a)(a)) + (12.4)(12.4) = (15)(15)

Multiply a * a
(a2) + (12.4)(12.4) = (15)(15)
a2 + (12.4)(12.4) = (15)(15)

Multiply 12.4 * 12.4
a2 + 153.76 = (15)(15)

Reorder the terms:
153.76 + a2 = (15)(15)

Multiply 15 * 15
153.76 + a2 = 225

Solving
153.76 + a2 = 225

Solving for variable 'a'.

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

Add '-153.76' to each side of the equation.
153.76 + -153.76 + a2 = 225 + -153.76

Combine like terms: 153.76 + -153.76 = 0.00
0.00 + a2 = 225 + -153.76
a2 = 225 + -153.76

Combine like terms: 225 + -153.76 = 71.24
a2 = 71.24

Simplifying
a2 = 71.24

Take the square root of each side:
a = {-8.440379138, 8.440379138}

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