X2-5x-14=-8x-4

Solution for X2-5x-14=-8x-4 equation:

X2-5X-14=-8X-4

We move all terms to the left:

X2-5X-14-(-8X-4)=0

We add all the numbers together, and all the variables

X^2-5X-(-8X-4)-14=0

We get rid of parentheses

X^2-5X+8X+4-14=0

We add all the numbers together, and all the variables

X^2+3X-10=0

a = 1; b = 3; c = -10;
Δ = b2-4ac
Δ = 32-4·1·(-10)
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-7}{2*1}=\frac{-10}{2}
=-5
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+7}{2*1}=\frac{4}{2}
=2
$