49x^2-56x=-15

Solution for 49x^2-56x=-15 equation:

49x^2-56x=-15

We move all terms to the left:

49x^2-56x-(-15)=0

We add all the numbers together, and all the variables

49x^2-56x+15=0

a = 49; b = -56; c = +15;
Δ = b2-4ac
Δ = -562-4·49·15
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-56)-14}{2*49}=\frac{42}{98}
=3/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-56)+14}{2*49}=\frac{70}{98}
=5/7
$