2x*x-3=1.25x^2

Solution for 2x*x-3=1.25x^2 equation:

2x*x-3=1.25x^2

We move all terms to the left:

2x*x-3-(1.25x^2)=0

Wy multiply elements

2x^2-(1.25x^2)-3=0

We get rid of parentheses

2x^2-1.25x^2-3=0

We add all the numbers together, and all the variables

0.75x^2-3=0

a = 0.75; b = 0; c = -3;
Δ = b2-4ac
Δ = 02-4·0.75·(-3)
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-3}{2*0.75}=\frac{-3}{1.5}
=-2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+3}{2*0.75}=\frac{3}{1.5}
=2
$