(5x+0)(25x+30)=180

Simple and best practice solution for (5x+0)(25x+30)=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 (5x+0)(25x+30)=180 equation:



(5x+0)(25x+30)=180
We move all terms to the left:
(5x+0)(25x+30)-(180)=0
We add all the numbers together, and all the variables
(+5x)(25x+30)-180=0
We multiply parentheses ..
(+125x^2+150x)-180=0
We get rid of parentheses
125x^2+150x-180=0
a = 125; b = 150; c = -180;
Δ = b2-4ac
Δ = 1502-4·125·(-180)
Δ = 112500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{112500}=\sqrt{22500*5}=\sqrt{22500}*\sqrt{5}=150\sqrt{5}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(150)-150\sqrt{5}}{2*125}=\frac{-150-150\sqrt{5}}{250} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(150)+150\sqrt{5}}{2*125}=\frac{-150+150\sqrt{5}}{250} $

See similar equations:

| s/4=-9 | | 20-4=4n | | -8=r+2 | | (x+21)^2=21 | | 5/13=v/4 | | 4c+32=-4c-8 | | 2(t+t)=10 | | -14-k=-4k+1 | | 28+27m-20m=35+20m | | 2x+3=x+x+1 | | z-7=-77 | | 36.50=9.50+x+.5x | | -14-k=4k=1 | | |x-1|=-8 | | 30+3x=85 | | 3w^2-75=0 | | 4=f/6 | | 2(2z=4)=4 | | 16x+92=16x+87 | | (5x)(25x+30)=180 | | -11=7+v | | 56x+2,844x-66=58(50x+34) | | 26+c=42 | | Z*z=9/64 | | x^2+18=21 | | 1738x=1738 | | 5x+10x-3=3(5x+5) | | 28-18=5(x-7) | | 5(2z-10)=5 | | 2x-5+x+4=2 | | 8x+4=10x+9 | | 5x-52+8x=-7 |

Equations solver categories