7x^2-49x=-70

Solution for 7x^2-49x=-70 equation:

7x^2-49x=-70

We move all terms to the left:

7x^2-49x-(-70)=0

We add all the numbers together, and all the variables

7x^2-49x+70=0

a = 7; b = -49; c = +70;
Δ = b2-4ac
Δ = -492-4·7·70
Δ = 441
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{441}=21$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-49)-21}{2*7}=\frac{28}{14}
=2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-49)+21}{2*7}=\frac{70}{14}
=5
$