-3x(x+10)=7x

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

-3x(x+10)=7x

We move all terms to the left:

-3x(x+10)-(7x)=0

We add all the numbers together, and all the variables

-7x-3x(x+10)=0

We multiply parentheses

-3x^2-7x-30x=0

We add all the numbers together, and all the variables

-3x^2-37x=0

a = -3; b = -37; c = 0;
Δ = b2-4ac
Δ = -372-4·(-3)·0
Δ = 1369
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1369}=37$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-37)-37}{2*-3}=\frac{0}{-6}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-37)+37}{2*-3}=\frac{74}{-6}
=-12+1/3
$