180=4x(70-x)

Solution for 180=4x(70-x) equation:

180=4x(70-x)

We move all terms to the left:

180-(4x(70-x))=0

We add all the numbers together, and all the variables

-(4x(-1x+70))+180=0


We calculate terms in parentheses: -(4x(-1x+70)), so:

4x(-1x+70)

We multiply parentheses

-4x^2+280x

Back to the equation:

-(-4x^2+280x)


We get rid of parentheses

4x^2-280x+180=0

a = 4; b = -280; c = +180;
Δ = b2-4ac
Δ = -2802-4·4·180
Δ = 75520
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:

$\sqrt{\Delta}=\sqrt{75520}=\sqrt{256*295}=\sqrt{256}*\sqrt{295}=16\sqrt{295}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-280)-16\sqrt{295}}{2*4}=\frac{280-16\sqrt{295}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-280)+16\sqrt{295}}{2*4}=\frac{280+16\sqrt{295}}{8}
$