(5+2x)(3+2x)=35

Simple and best practice solution for (5+2x)(3+2x)=35 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 (5+2x)(3+2x)=35 equation:



(5+2x)(3+2x)=35
We move all terms to the left:
(5+2x)(3+2x)-(35)=0
We add all the numbers together, and all the variables
(2x+5)(2x+3)-35=0
We multiply parentheses ..
(+4x^2+6x+10x+15)-35=0
We get rid of parentheses
4x^2+6x+10x+15-35=0
We add all the numbers together, and all the variables
4x^2+16x-20=0
a = 4; b = 16; c = -20;
Δ = b2-4ac
Δ = 162-4·4·(-20)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-24}{2*4}=\frac{-40}{8} =-5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+24}{2*4}=\frac{8}{8} =1 $

See similar equations:

| x(4)=16 | | t/7+4=7 | | d/4-7=1 | | a/4-6=3 | | 2(4x-10)=29 | | 4(2y+3)−4y≥=−20 | | 4(2y+3)−=4y≥−20 | | 4(2y+3)−4y=−20 | | 96x-36=2172 | | 18n+9=1629 | | -13=2+5v | | 4m-6=1 | | 42x+48=468 | | 72x–6^2=216 | | 176z-432=88096 | | 44x-6=4130 | | 2x(x+2)(2x+1)=180 | | 74c+41=5665 | | 2x(x+2)(2x+1)=108 | | 81n+17=2447 | | 5x−14=12x | | 3/2p-1/2=1/3/4p+1 | | 18x(x)=360^2 | | 6x+14=5x-3 | | 6.8x(x)=64.6^ | | 12x+13=3x+58 | | 2(3x−7)=5x−3 | | 5y+34=−2−7y+1 | | 6x(2x-60)=180 | | x^2+3x=12-5x | | (x/x-3)-(2/x)=(9/x^2-3X) | | h/3-45=54 |

Equations solver categories