7x^2+45x=784

Solution for 7x^2+45x=784 equation:

7x^2+45x=784

We move all terms to the left:

7x^2+45x-(784)=0

a = 7; b = 45; c = -784;
Δ = b2-4ac
Δ = 452-4·7·(-784)
Δ = 23977
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(45)-\sqrt{23977}}{2*7}=\frac{-45-\sqrt{23977}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(45)+\sqrt{23977}}{2*7}=\frac{-45+\sqrt{23977}}{14}
$