x+3x+2=x2+x-10

Simple and best practice solution for x+3x+2=x2+x-10 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+3x+2=x2+x-10 equation:



x+3x+2=x2+x-10
We move all terms to the left:
x+3x+2-(x2+x-10)=0
We add all the numbers together, and all the variables
-(+x^2+x-10)+x+3x+2=0
We add all the numbers together, and all the variables
-(+x^2+x-10)+4x+2=0
We get rid of parentheses
-x^2-x+4x+10+2=0
We add all the numbers together, and all the variables
-1x^2+3x+12=0
a = -1; b = 3; c = +12;
Δ = b2-4ac
Δ = 32-4·(-1)·12
Δ = 57
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{57}}{2*-1}=\frac{-3-\sqrt{57}}{-2} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{57}}{2*-1}=\frac{-3+\sqrt{57}}{-2} $

See similar equations:

| (-1)19x+56=18x+55(-1) | | 10=2y−8 | | 420/8=12/x | | (0.15)(20)=x(18) | | 4(6x+2x-2)=30(4) | | (x+40)⁰=(2x+20)⁰ | | 0.5+4x=27 | | (3x+1)^1/3=-4 | | -2x+1(8x-5)=11 | | 1(8x-5)=2x+1(1) | | 7d-3=6 | | x7x2= x | | 15/8+c=52 | | 11x=2-20 | | -11(-3x-6)=-16x(-11) | | X^-4-5x^2+4=0 | | 36x/432x=x | | 36x÷432=x | | 432/36x=x | | 36x/432=x | | 10+5/6x=2/3x-3/4 | | 7/8k+2=1-3/4k | | X+2/4y=3600 | | F(x)=6(25)^X | | 2a+5=65 | | 2x^-7x^2+3=0 | | 5x+3=7x–12 | | 56x-36x=x | | 84=6c–18 | | 3×(4x)=x | | 3(2y+1)=17 | | 5(3w–2)=35+45 |

Equations solver categories