X^2+50=146-8x

Solution for X^2+50=146-8x equation:

X^2+50=146-8X

We move all terms to the left:

X^2+50-(146-8X)=0

We add all the numbers together, and all the variables

X^2-(-8X+146)+50=0

We get rid of parentheses

X^2+8X-146+50=0

We add all the numbers together, and all the variables

X^2+8X-96=0

a = 1; b = 8; c = -96;
Δ = b2-4ac
Δ = 82-4·1·(-96)
Δ = 448
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{448}=\sqrt{64*7}=\sqrt{64}*\sqrt{7}=8\sqrt{7}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8\sqrt{7}}{2*1}=\frac{-8-8\sqrt{7}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8\sqrt{7}}{2*1}=\frac{-8+8\sqrt{7}}{2}
$