4x2+24x=45

Solution for 4x2+24x=45 equation:

4x^2+24x=45

We move all terms to the left:

4x^2+24x-(45)=0

a = 4; b = 24; c = -45;
Δ = b2-4ac
Δ = 242-4·4·(-45)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-36}{2*4}=\frac{-60}{8}
=-7+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+36}{2*4}=\frac{12}{8}
=1+1/2
$