a(a)+75(75)=76(76)

Solution for a(a)+75(75)=76(76) equation:

Simplifying
a(a) + 75(75) = 76(76)

Multiply a * a
a2 + 75(75) = 76(76)

Multiply 75 * 75
a2 + 5625 = 76(76)

Reorder the terms:
5625 + a2 = 76(76)

Multiply 76 * 76
5625 + a2 = 5776

Solving
5625 + a2 = 5776

Solving for variable 'a'.

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

Add '-5625' to each side of the equation.
5625 + -5625 + a2 = 5776 + -5625

Combine like terms: 5625 + -5625 = 0
0 + a2 = 5776 + -5625
a2 = 5776 + -5625

Combine like terms: 5776 + -5625 = 151
a2 = 151

Simplifying
a2 = 151

Take the square root of each side:
a = {-12.288205727, 12.288205727}