(5x+20)(x+60)=40

Simple and best practice solution for (5x+20)(x+60)=40 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+20)(x+60)=40 equation:



(5x+20)(x+60)=40
We move all terms to the left:
(5x+20)(x+60)-(40)=0
We multiply parentheses ..
(+5x^2+300x+20x+1200)-40=0
We get rid of parentheses
5x^2+300x+20x+1200-40=0
We add all the numbers together, and all the variables
5x^2+320x+1160=0
a = 5; b = 320; c = +1160;
Δ = b2-4ac
Δ = 3202-4·5·1160
Δ = 79200
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:
$\sqrt{\Delta}=\sqrt{79200}=\sqrt{3600*22}=\sqrt{3600}*\sqrt{22}=60\sqrt{22}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(320)-60\sqrt{22}}{2*5}=\frac{-320-60\sqrt{22}}{10} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(320)+60\sqrt{22}}{2*5}=\frac{-320+60\sqrt{22}}{10} $

See similar equations:

| 2x+125+1x+163=38 | | x= | | 6x-20=12(-10+x) | | x= | | 8=8x-4(x+5) | | v/20=17 | | b/17=-17 | | 5x3/5=55 | | 4a+7=63 | | 15/4-8x=10 | | x+21=2121 | | 5e-6=-4 | | 4m-8=-8-4m-m | | 99x=21 | | 99x=2121 | | 9x=6x+14 | | 7+3(n-1)=40 | | 7x-(5x+6)=4x-24 | | 19-13x=-7x-5 | | |2x-6|+5x=0 | | 41.7t=220.70 | | 220.70=t(32.50+3.30) | | 3(3x+9)=4x+17 | | x=6+23/28 | | 220.70=t(32.50+3.30+5.90) | | (X-61)=(x*42) | | 3/4(4z+8)=-12 | | X4x-8=20 | | 12y-9y-7=42.14 | | X+2y=3300 | | a+89-90=-103 | | 30x=60+27x |

Equations solver categories