.76=4x^2/2-x

Solution for .76=4x^2/2-x equation:

.76=4x^2/2-x

We move all terms to the left:

.76-(4x^2/2-x)=0


Domain of the equation: 2-x)!=0

We move all terms containing x to the left, all other terms to the right

-x)!=-2

x!=-2/1

x!=-2

x∈R


We add all the numbers together, and all the variables

-(4x^2/2-x)+0.76=0

We get rid of parentheses

-4x^2/2+x+0.76=0

We multiply all the terms by the denominator


-4x^2+x*2+(0.76)*2=0

We add all the numbers together, and all the variables

-4x^2+x*2+1.52=0

Wy multiply elements

-4x^2+2x+1.52=0

a = -4; b = 2; c = +1.52;
Δ = b2-4ac
Δ = 22-4·(-4)·1.52
Δ = 28.32
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{-(2)-\sqrt{28.32}}{2*-4}=\frac{-2-\sqrt{28.32}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2)+\sqrt{28.32}}{2*-4}=\frac{-2+\sqrt{28.32}}{-8}
$