0.75x^2+0.75=x^2-1+1

Solution for 0.75x^2+0.75=x^2-1+1 equation:

0.75x^2+0.75=x^2-1+1

We move all terms to the left:

0.75x^2+0.75-(x^2-1+1)=0

We get rid of parentheses

0.75x^2-x^2+1-1+0.75=0

We add all the numbers together, and all the variables

-0.25x^2+0.75=0

a = -0.25; b = 0; c = +0.75;
Δ = b2-4ac
Δ = 02-4·(-0.25)·0.75
Δ = 0.75
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{0.75}}{2*-0.25}=\frac{0-\sqrt{0.75}}{-0.5}
=-\frac{\sqrt{}}{-0.5}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{0.75}}{2*-0.25}=\frac{0+\sqrt{0.75}}{-0.5}
=\frac{\sqrt{}}{-0.5}
$