225(x-1)(x-1)-64=0

Solution for 225(x-1)(x-1)-64=0 equation:

225(x-1)(x-1)-64=0

We multiply parentheses ..

225(+x^2-1x-1x+1)-64=0

We multiply parentheses

225x^2-225x-225x+225-64=0

We add all the numbers together, and all the variables

225x^2-450x+161=0

a = 225; b = -450; c = +161;
Δ = b2-4ac
Δ = -4502-4·225·161
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-450)-240}{2*225}=\frac{210}{450}
=7/15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-450)+240}{2*225}=\frac{690}{450}
=1+8/15
$