1x+7x^2=359

Solution for 1x+7x^2=359 equation:

1x+7x^2=359

We move all terms to the left:

1x+7x^2-(359)=0

We add all the numbers together, and all the variables

7x^2+x-359=0

a = 7; b = 1; c = -359;
Δ = b2-4ac
Δ = 12-4·7·(-359)
Δ = 10053
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:

$\sqrt{\Delta}=\sqrt{10053}=\sqrt{9*1117}=\sqrt{9}*\sqrt{1117}=3\sqrt{1117}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-3\sqrt{1117}}{2*7}=\frac{-1-3\sqrt{1117}}{14}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+3\sqrt{1117}}{2*7}=\frac{-1+3\sqrt{1117}}{14}
$