-7(-3/10x-9)=3(-2+3/10x)

Solution for -7(-3/10x-9)=3(-2+3/10x) equation:

-7(-3/10x-9)=3(-2+3/10x)

We move all terms to the left:

-7(-3/10x-9)-(3(-2+3/10x))=0


Domain of the equation: 10x-9)!=0

x∈R



Domain of the equation: 10x))!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

-7(-3/10x-9)-(3(3/10x-2))=0

We multiply parentheses

21x-(3(3/10x-2))+63=0

We multiply all the terms by the denominator


21x*10x+63*10x-2))-(3(3-2))=0

We add all the numbers together, and all the variables

21x*10x+63*10x-2))-(31)=0

We add all the numbers together, and all the variables

21x*10x+63*10x=0

Wy multiply elements

210x^2+630x=0

a = 210; b = 630; c = 0;
Δ = b2-4ac
Δ = 6302-4·210·0
Δ = 396900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{396900}=630$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(630)-630}{2*210}=\frac{-1260}{420}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(630)+630}{2*210}=\frac{0}{420}
=0
$