x(x-24)=180

Simple and best practice solution for x(x-24)=180 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for x(x-24)=180 equation:



x(x-24)=180
We move all terms to the left:
x(x-24)-(180)=0
We multiply parentheses
x^2-24x-180=0
a = 1; b = -24; c = -180;
Δ = b2-4ac
Δ = -242-4·1·(-180)
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*1}=\frac{-12}{2} =-6 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+36}{2*1}=\frac{60}{2} =30 $

See similar equations:

| -5(3p+2)-4(2-p)=3(5p+2)-4 | | T/y=-9 | | 3x+6=2x+010 | | 12=8+2r | | 6t−3=0 | | x+142=x+52 | | 2w+4w+60=180 | | -5x+7x-4=20 | | -6=-8a-32+8a | | 2x-2x+16=16 | | 3/4a-1/6=a+1/4 | | 7+6t=4t-9 | | 5x-10=3(x)+6 | | w/15+10=11 | | 3x+4x-10=32 | | 24x−22=−4(1−6x)−18 | | (a+2)=(a+3) | | 15-11r=-11r | | -2r+6=-3r | | 50+3u+2u=180 | | 4-(2x-3)=-3 | | 4x+4=-2+16 | | -5(x+3)=-3x-33 | | 2n+2n+10=180 | | 9+3d=2d | | x+2x+14=71 | | n^2-5n=-14 | | x+2x+14=72 | | x+57=4x-6 | | 15v+15v+120=180 | | 4s=-3+5s | | 8+7s=8s+4 |

Equations solver categories