-2/3x-7(-1/3x-3)=6

Simple and best practice solution for -2/3x-7(-1/3x-3)=6 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 -2/3x-7(-1/3x-3)=6 equation: 



-2/3x-7(-1/3x-3)=6

We move all terms to the left:

-2/3x-7(-1/3x-3)-(6)=0



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R





Domain of the equation: 3x-3)!=0

x∈R



We multiply parentheses

-2/3x+7x+21-6=0

We multiply all the terms by the denominator


7x*3x+21*3x-6*3x-2=0

Wy multiply elements

21x^2+63x-18x-2=0

We add all the numbers together, and all the variables

21x^2+45x-2=0

a = 21; b = 45; c = -2;
Δ = b2-4ac
Δ = 452-4·21·(-2)
Δ = 2193
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{-(45)-\sqrt{2193}}{2*21}=\frac{-45-\sqrt{2193}}{42}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{2193}}{2*21}=\frac{-45+\sqrt{2193}}{42}
$

See similar equations:

| f(.5)=-(.5)-7 | | 3(x-3)=2(2x-2) | | 16j–17j+-6j+-7j–-11j=18 | | 5/4x+8=3 | | 3=-5+7p+6 | | -0.2n+13=0.2-6 | | c+5c-4c=6 | | f(-3)=-(-3)-7 | | f(0.5)=2(0.5)-3 | | -36-6r=-6(3r-8) | | 6(1-3x)=42-6x | | 2y=11.4=2.6-0.2y | | f(-5)=-(-5)-7 | | (2x+22)=4x | | 2h+2h+5h+h=10 | | 42+85+x=180 | | -13x-19=9-6x | | 2h+2h+5h+h=16 | | q10+7q=14+6q | | f(1/2)=2(1/2)-3 | | -(-2x+9)-2(3x-1)=-14 | | (2x+22)°=4x° | | 6(x+5)=4x+26 | | 5x+20+7x-4=180 | | 4x+6+x-6=180 | | 54+80+x=180 | | f(-3)=2(-3)-3 | | 2y=(-1)-8 | | f(4)=-14 | | 2x2+8x=0 | | 22+2x=9x+8 | | f(4)=-12-2 |

Equations solver categories