(3x+7)(3/4x-1)=0

Solution for (3x+7)(3/4x-1)=0 equation:

(3x+7)(3/4x-1)=0


Domain of the equation: 4x-1)!=0

x∈R


We multiply parentheses ..

(+9x^2-3x+21x-7)=0

We get rid of parentheses

9x^2-3x+21x-7=0

We add all the numbers together, and all the variables

9x^2+18x-7=0

a = 9; b = 18; c = -7;
Δ = b2-4ac
Δ = 182-4·9·(-7)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(18)-24}{2*9}=\frac{-42}{18}
=-2+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(18)+24}{2*9}=\frac{6}{18}
=1/3
$