2(a-6)2-45=53

Solution for 2(a-6)2-45=53 equation:

Simplifying
2(a + -6) * 2 + -45 = 53

Reorder the terms:
2(-6 + a) * 2 + -45 = 53

Reorder the terms for easier multiplication:
2 * 2(-6 + a) + -45 = 53

Multiply 2 * 2
4(-6 + a) + -45 = 53
(-6 * 4 + a * 4) + -45 = 53
(-24 + 4a) + -45 = 53

Reorder the terms:
-24 + -45 + 4a = 53

Combine like terms: -24 + -45 = -69
-69 + 4a = 53

Solving
-69 + 4a = 53

Solving for variable 'a'.

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

Add '69' to each side of the equation.
-69 + 69 + 4a = 53 + 69

Combine like terms: -69 + 69 = 0
0 + 4a = 53 + 69
4a = 53 + 69

Combine like terms: 53 + 69 = 122
4a = 122

Divide each side by '4'.
a = 30.5

Simplifying
a = 30.5