(x+4)(2x+9)=0

Simple and best practice solution for (x+4)(2x+9)=0 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+4)(2x+9)=0 equation:



(x+4)(2x+9)=0
We multiply parentheses ..
(+2x^2+9x+8x+36)=0
We get rid of parentheses
2x^2+9x+8x+36=0
We add all the numbers together, and all the variables
2x^2+17x+36=0
a = 2; b = 17; c = +36;
Δ = b2-4ac
Δ = 172-4·2·36
Δ = 1
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1}=1$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-1}{2*2}=\frac{-18}{4} =-4+1/2 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+1}{2*2}=\frac{-16}{4} =-4 $

See similar equations:

| 2x+7≤−5=2x−79. | | -7x-5=4x-29 | | c/2+18=33 | | (x-2)x=3(x-2) | | -7(2-2x)-4(x+5)=-24 | | 2(w+3)=−2(w−21) | | 30x+25x=130 | | (3/4)*(x-4)=(2/3)*(x=1) | | 6y-8y=-8-10 | | 21,000=3400t=600 | | -27-(-12)=x/5 | | -6(9x+5)-7x=-408+x | | 7/10=r-(-8/5) | | (-7.4)+l=9.11 | | 29-15=2(x-2) | | 29–15=2(x-2) | | a-(-3.75)=6.11 | | 3x+21=-34-2x | | 3/16x=119/32 | | c+8=-11 | | 2x+33=-6×+1 | | (2x+7)+(2x+7)=6x-14 | | -27=4u-3 | | 14x+15=10x-6+11x | | 1000(8x-10)=60(190+100x) | | (X-3)+(6x+5)=8x-2 | | f+1/4=-7/2 | | (x-4)+(6x+8)=8x-3 | | X²-1x-20=0 | | 1-6x+5=9-7x | | 2m−6=4m+10 | | 6-4w+6-4w+w+w=518 |

Equations solver categories