5x2+7x=2

Solution for 5x2+7x=2 equation:

5x^2+7x=2

We move all terms to the left:

5x^2+7x-(2)=0

a = 5; b = 7; c = -2;
Δ = b2-4ac
Δ = 72-4·5·(-2)
Δ = 89
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{89}}{2*5}=\frac{-7-\sqrt{89}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{89}}{2*5}=\frac{-7+\sqrt{89}}{10}
$