7x-3(-3)=-4/7x-9x

Solution for 7x-3(-3)=-4/7x-9x equation:

7x-3(-3)=-4/7x-9x

We move all terms to the left:

7x-3(-3)-(-4/7x-9x)=0


Domain of the equation: 7x-9x)!=0

x∈R


We add all the numbers together, and all the variables

7x-(-9x-4/7x)-3(-3)=0

We add all the numbers together, and all the variables

7x-(-9x-4/7x)+9=0

We get rid of parentheses

7x+9x+4/7x+9=0

We multiply all the terms by the denominator


7x*7x+9x*7x+9*7x+4=0

Wy multiply elements

49x^2+63x^2+63x+4=0

We add all the numbers together, and all the variables

112x^2+63x+4=0

a = 112; b = 63; c = +4;
Δ = b2-4ac
Δ = 632-4·112·4
Δ = 2177
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{-(63)-\sqrt{2177}}{2*112}=\frac{-63-\sqrt{2177}}{224}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(63)+\sqrt{2177}}{2*112}=\frac{-63+\sqrt{2177}}{224}
$