How do i work this equation out?

(2x-1)^2 -6 = 30

4x^2 - 4x +1 -6=30

4x^2-4x-5=30

4x^2-4x=35

4x^2-4x-35=0

assuming equation is

2(x-1)^2 - 6 = 30

2(x-1)^2 = 30 + 6

2(x-1)^2 = 36

now divide both sides by 2

2(x-1)^2 / 2 = 36/2

(x-1)^2 = 18

take the square root of both sides:

√(x-1)^2 = +/- √18

x - 1 = +/- (√9x2)

x = 1 +/- (√9 x √2)

x = 1 +/- 3√2

can't simplify further, plug into calculator for numerical value.

NOTE: you said "work this equation out", that typically means solve!!!!!!!!!!!!!!

If you meant: Expand the brackets and collect like terms, that's different!!!!!

assuming THAT is what you meant:

(2x-1)^2 - 6 = 30

(2x-1)(2x-1) - 6 - 30 = 0

2x(2x) + 2x(-1) -1(2x) -1(-1) - 36 = 0

4x^2 - 2x - 2x + 1 - 36 = 0

4x^2 -4x - 35 = 0

Continuing and building on ?'s work,

4*x^2 - 4*x - 35 = 0

(2*x + 5)*(2*x - 7) = 0

2*x = - 5 or 2*x = 7

x = -5/2 or x = 7/2 <<<