4-(5x2)+3=x

Solution for 4-(5x2)+3=x equation:

4-(5x^2)+3=x

We move all terms to the left:

4-(5x^2)+3-(x)=0

We add all the numbers together, and all the variables

-5x^2-1x+7=0

a = -5; b = -1; c = +7;
Δ = b2-4ac
Δ = -12-4·(-5)·7
Δ = 141
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{-(-1)-\sqrt{141}}{2*-5}=\frac{1-\sqrt{141}}{-10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{141}}{2*-5}=\frac{1+\sqrt{141}}{-10}
$