10x^2-56=88-6x

Solution for 10x^2-56=88-6x equation:

10x^2-56=88-6x

We move all terms to the left:

10x^2-56-(88-6x)=0

We add all the numbers together, and all the variables

10x^2-(-6x+88)-56=0

We get rid of parentheses

10x^2+6x-88-56=0

We add all the numbers together, and all the variables

10x^2+6x-144=0

a = 10; b = 6; c = -144;
Δ = b2-4ac
Δ = 62-4·10·(-144)
Δ = 5796
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:

$\sqrt{\Delta}=\sqrt{5796}=\sqrt{36*161}=\sqrt{36}*\sqrt{161}=6\sqrt{161}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6\sqrt{161}}{2*10}=\frac{-6-6\sqrt{161}}{20}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6\sqrt{161}}{2*10}=\frac{-6+6\sqrt{161}}{20}
$