-3(x)=5x^2-22x

Solution for -3(x)=5x^2-22x equation:

-3(x)=5x^2-22x

We move all terms to the left:

-3(x)-(5x^2-22x)=0

We get rid of parentheses

-5x^2-3x+22x=0

We add all the numbers together, and all the variables

-5x^2+19x=0

a = -5; b = 19; c = 0;
Δ = b2-4ac
Δ = 192-4·(-5)·0
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-19}{2*-5}=\frac{-38}{-10}
=3+4/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+19}{2*-5}=\frac{0}{-10}
=0
$