(x-5)(x+35)1.4=360

Solution for (x-5)(x+35)1.4=360 equation:

(x-5)(x+35)1.4=360

We move all terms to the left:

(x-5)(x+35)1.4-(360)=0

We multiply parentheses ..

(+x^2+35x-5x-175)1.4-360=0

We multiply parentheses

1.4x^2+49x-7x-245-360=0

We add all the numbers together, and all the variables

1.4x^2+42x-605=0

a = 1.4; b = 42; c = -605;
Δ = b2-4ac
Δ = 422-4·1.4·(-605)
Δ = 5152
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:

$\sqrt{\Delta}=\sqrt{5152}=\sqrt{16*322}=\sqrt{16}*\sqrt{322}=4\sqrt{322}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(42)-4\sqrt{322}}{2*1.4}=\frac{-42-4\sqrt{322}}{2.8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(42)+4\sqrt{322}}{2*1.4}=\frac{-42+4\sqrt{322}}{2.8}
$