-7x2-16x-30=5x2-68x+5

Solution for -7x2-16x-30=5x2-68x+5 equation:

-7x^2-16x-30=5x^2-68x+5

We move all terms to the left:

-7x^2-16x-30-(5x^2-68x+5)=0

We get rid of parentheses

-7x^2-5x^2-16x+68x-5-30=0

We add all the numbers together, and all the variables

-12x^2+52x-35=0

a = -12; b = 52; c = -35;
Δ = b2-4ac
Δ = 522-4·(-12)·(-35)
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(52)-32}{2*-12}=\frac{-84}{-24}
=3+1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(52)+32}{2*-12}=\frac{-20}{-24}
=5/6
$