x(x+5)=345

Simple and best practice solution for x(x+5)=345 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+5)=345 equation:



x(x+5)=345
We move all terms to the left:
x(x+5)-(345)=0
We multiply parentheses
x^2+5x-345=0
a = 1; b = 5; c = -345;
Δ = b2-4ac
Δ = 52-4·1·(-345)
Δ = 1405
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{1405}}{2*1}=\frac{-5-\sqrt{1405}}{2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{1405}}{2*1}=\frac{-5+\sqrt{1405}}{2} $

See similar equations:

| 4(w+8)-7w=5 | | -2(3-m=-3(1-m) | | 4a+3a=0.5 | | 4(3x-4)-8=24 | | 5z+10/2=-5 | | 4(a+2)=-4a-8 | | 3p-28/4=4 | | 26-2k=-4(1+2k) | | b-6+4b=28 | | X+2x=716 | | 3x+(2x-3)=91.5 | | -7z+2=-75 | | y+3=5y-23 | | x+4/12=6 | | 7+3=5y-23 | | -4=1/3(5p-9) | | 2-3f-5+5=6 | | u^2-2u-11=0 | | X/3+9/4=5x/6+15/2 | | 2(x-30=-3(x+5)-6 | | 37+6b=-6(3-2b)+5b | | 4=b/5 | | 2=-6+x/2 | | (1/36)x+1=36 | | 2+2x=716 | | 16+9=m-2 | | 7=6-4y+4y | | 3j+8=35 | | 14x-26=16 | | -5-x=-2(1+2x) | | 1/5+1/2(x)=7 | | 3h-4=15+2 |

Equations solver categories