(8x-2)*(8x-2)=144

Solution for (8x-2)*(8x-2)=144 equation:

(8x-2)(8x-2)=144

We move all terms to the left:

(8x-2)(8x-2)-(144)=0

We multiply parentheses ..

(+64x^2-16x-16x+4)-144=0

We get rid of parentheses

64x^2-16x-16x+4-144=0

We add all the numbers together, and all the variables

64x^2-32x-140=0

a = 64; b = -32; c = -140;
Δ = b2-4ac
Δ = -322-4·64·(-140)
Δ = 36864
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36864}=192$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-192}{2*64}=\frac{-160}{128}
=-1+1/4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+192}{2*64}=\frac{224}{128}
=1+3/4
$