-4+4x*1x+4=1x+6

Solution for -4+4x*1x+4=1x+6 equation:

-4+4x*1x+4=1x+6

We move all terms to the left:

-4+4x*1x+4-(1x+6)=0

We add all the numbers together, and all the variables

4x*1x-(x+6)-4+4=0

We add all the numbers together, and all the variables

4x*1x-(x+6)=0

Wy multiply elements

4x^2-(x+6)=0

We get rid of parentheses

4x^2-x-6=0

We add all the numbers together, and all the variables

4x^2-1x-6=0

a = 4; b = -1; c = -6;
Δ = b2-4ac
Δ = -12-4·4·(-6)
Δ = 97
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{97}}{2*4}=\frac{1-\sqrt{97}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{97}}{2*4}=\frac{1+\sqrt{97}}{8}
$