180=7x(5x+30)

Solution for 180=7x(5x+30) equation:

180=7x(5x+30)

We move all terms to the left:

180-(7x(5x+30))=0


We calculate terms in parentheses: -(7x(5x+30)), so:

7x(5x+30)

We multiply parentheses

35x^2+210x

Back to the equation:

-(35x^2+210x)


We get rid of parentheses

-35x^2-210x+180=0

a = -35; b = -210; c = +180;
Δ = b2-4ac
Δ = -2102-4·(-35)·180
Δ = 69300
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{69300}=\sqrt{900*77}=\sqrt{900}*\sqrt{77}=30\sqrt{77}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-210)-30\sqrt{77}}{2*-35}=\frac{210-30\sqrt{77}}{-70}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-210)+30\sqrt{77}}{2*-35}=\frac{210+30\sqrt{77}}{-70}
$