4x(5x+3)=30x

Solution for 4x(5x+3)=30x equation:

4x(5x+3)=30x

We move all terms to the left:

4x(5x+3)-(30x)=0

We add all the numbers together, and all the variables

-30x+4x(5x+3)=0

We multiply parentheses

20x^2-30x+12x=0

We add all the numbers together, and all the variables

20x^2-18x=0

a = 20; b = -18; c = 0;
Δ = b2-4ac
Δ = -182-4·20·0
Δ = 324
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{324}=18$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-18)-18}{2*20}=\frac{0}{40}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-18)+18}{2*20}=\frac{36}{40}
=9/10
$