X2+49x=12

Solution for X2+49x=12 equation:

X2+49X=12

We move all terms to the left:

X2+49X-(12)=0

We add all the numbers together, and all the variables

X^2+49X-12=0

a = 1; b = 49; c = -12;
Δ = b2-4ac
Δ = 492-4·1·(-12)
Δ = 2449
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{-(49)-\sqrt{2449}}{2*1}=\frac{-49-\sqrt{2449}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(49)+\sqrt{2449}}{2*1}=\frac{-49+\sqrt{2449}}{2}
$