X(6-4)+3x-9=46

Solution for X(6-4)+3x-9=46 equation:

X(6-4)+3X-9=46

We move all terms to the left:

X(6-4)+3X-9-(46)=0

We add all the numbers together, and all the variables

X2+3X-9-46=0

We add all the numbers together, and all the variables

X^2+3X-55=0

a = 1; b = 3; c = -55;
Δ = b2-4ac
Δ = 32-4·1·(-55)
Δ = 229
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{-(3)-\sqrt{229}}{2*1}=\frac{-3-\sqrt{229}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{229}}{2*1}=\frac{-3+\sqrt{229}}{2}
$