X2+12=27x+70

Solution for X2+12=27x+70 equation:

X2+12=27X+70

We move all terms to the left:

X2+12-(27X+70)=0

We add all the numbers together, and all the variables

X^2-(27X+70)+12=0

We get rid of parentheses

X^2-27X-70+12=0

We add all the numbers together, and all the variables

X^2-27X-58=0

a = 1; b = -27; c = -58;
Δ = b2-4ac
Δ = -272-4·1·(-58)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-31}{2*1}=\frac{-4}{2}
=-2
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+31}{2*1}=\frac{58}{2}
=29
$