(70+5x)*(88-2x)=0

Solution for (70+5x)*(88-2x)=0 equation:

(70+5x)(88-2x)=0

We add all the numbers together, and all the variables

(5x+70)(-2x+88)=0

We multiply parentheses ..

(-10x^2+440x-140x+6160)=0

We get rid of parentheses

-10x^2+440x-140x+6160=0

We add all the numbers together, and all the variables

-10x^2+300x+6160=0

a = -10; b = 300; c = +6160;
Δ = b2-4ac
Δ = 3002-4·(-10)·6160
Δ = 336400
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{336400}=580$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(300)-580}{2*-10}=\frac{-880}{-20}
=+44
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(300)+580}{2*-10}=\frac{280}{-20}
=-14
$