(2x+1)(3x-9)=90

Simple and best practice solution for (2x+1)(3x-9)=90 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 (2x+1)(3x-9)=90 equation:



(2x+1)(3x-9)=90
We move all terms to the left:
(2x+1)(3x-9)-(90)=0
We multiply parentheses ..
(+6x^2-18x+3x-9)-90=0
We get rid of parentheses
6x^2-18x+3x-9-90=0
We add all the numbers together, and all the variables
6x^2-15x-99=0
a = 6; b = -15; c = -99;
Δ = b2-4ac
Δ = -152-4·6·(-99)
Δ = 2601
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2601}=51$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-15)-51}{2*6}=\frac{-36}{12} =-3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+51}{2*6}=\frac{66}{12} =5+1/2 $

See similar equations:

| 30–(8+5x)–(3–24x)=29x–(31x–26) | | 10^3x=800 | | 9-9=5x+2x | | /k5=-2 | | 4(-6+5x)=-224 | | -3+1/2=1/2(-n+14) | | 3x-14=4(x-9) | | 4500/x=0.05 | | 5500/x=0.05 | | -x^2+2=8 | | (2x-3)^2-25=0 | | 150/x=0.05 | | 1500/x=0.05 | | 3*(x+1)+2x.2+12x=63,5 | | 12x=-48x | | x-3*16=x | | 12/15=9/x | | 1000/x=0.05 | | 1000/x=0.5 | | 0=-4t^2+16t+20 | | 4(z+1)=2(z-1)+18 | | 7(p+1)=3(p-3 | | x^2+8/3=-7/9 | | 20+20=2nn= | | 80-24=90-nn= | | 9x+12=10x+8 | | 35+3=n+5n= | | 5x+18=8x+6 | | 2x+125=9x-8 | | 5+66x=44x+24 | | 153=1/2(h)8+9 | | -24x=80 |

Equations solver categories