x^2+7x=70

Solution for x^2+7x=70 equation:

x^2+7x=70

We move all terms to the left:

x^2+7x-(70)=0

a = 1; b = 7; c = -70;
Δ = b2-4ac
Δ = 72-4·1·(-70)
Δ = 329
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{-(7)-\sqrt{329}}{2*1}=\frac{-7-\sqrt{329}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{329}}{2*1}=\frac{-7+\sqrt{329}}{2}
$