2x(5+2x)=9-2x

Simple and best practice solution for 2x(5+2x)=9-2x 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(5+2x)=9-2x equation:



2x(5+2x)=9-2x
We move all terms to the left:
2x(5+2x)-(9-2x)=0
We add all the numbers together, and all the variables
2x(2x+5)-(-2x+9)=0
We multiply parentheses
4x^2+10x-(-2x+9)=0
We get rid of parentheses
4x^2+10x+2x-9=0
We add all the numbers together, and all the variables
4x^2+12x-9=0
a = 4; b = 12; c = -9;
Δ = b2-4ac
Δ = 122-4·4·(-9)
Δ = 288
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:
$\sqrt{\Delta}=\sqrt{288}=\sqrt{144*2}=\sqrt{144}*\sqrt{2}=12\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(12)-12\sqrt{2}}{2*4}=\frac{-12-12\sqrt{2}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(12)+12\sqrt{2}}{2*4}=\frac{-12+12\sqrt{2}}{8} $

See similar equations:

| 3(2x-1)=7+2(3-x) | | 3.7+10m=7.58 | | 4x-1-9x-22=9 | | 2.3+10m=6.27 | | 5(6w–19)=–5 | | -5d=18 | | 7−(−4y)=39 | | 1+2y=4.08 | | −33= 6b−15 | | 1/3x=14.68 | | x4=−7 | | 2x-6=8x+16 | | -11=8x+14-2x+5 | | 28-6b=8 | | 3(4x-5)=6x-33 | | -4v-48=-9(v+7) | | 5=-2(x-1 | | 2(3x+1)=0.5(4x–12) | | 12(x+4)=12+48 | | 5=5m−23+3m | | 16+2=-2(6x-9) | | 6(u-3)=-8u-4 | | -2x+8+3x=12 | | 4y-9+6=6 | | 6x-10=12x | | 7x-3+2=-8x-6 | | 34x+95=32x+27 | | -2x+8-3x=12 | | -5(8+x)+5=-35 | | 5-4x=16-5x | | 3x+12=211 | | a/3.8=13/10 |

Equations solver categories