2x^2-88x=-870

Solution for 2x^2-88x=-870 equation:

2x^2-88x=-870

We move all terms to the left:

2x^2-88x-(-870)=0

We add all the numbers together, and all the variables

2x^2-88x+870=0

a = 2; b = -88; c = +870;
Δ = b2-4ac
Δ = -882-4·2·870
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-28}{2*2}=\frac{60}{4}
=15
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+28}{2*2}=\frac{116}{4}
=29
$