77x2=12-5x

Solution for 77x2=12-5x equation:

77x^2=12-5x

We move all terms to the left:

77x^2-(12-5x)=0

We add all the numbers together, and all the variables

77x^2-(-5x+12)=0

We get rid of parentheses

77x^2+5x-12=0

a = 77; b = 5; c = -12;
Δ = b2-4ac
Δ = 52-4·77·(-12)
Δ = 3721
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{3721}=61$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-61}{2*77}=\frac{-66}{154}
=-3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+61}{2*77}=\frac{56}{154}
=4/11
$