7x+6=5x^2

Solution for 7x+6=5x^2 equation:

7x+6=5x^2

We move all terms to the left:

7x+6-(5x^2)=0

determiningTheFunctionDomain
-5x^2+7x+6=0

a = -5; b = 7; c = +6;
Δ = b2-4ac
Δ = 72-4·(-5)·6
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-13}{2*-5}=\frac{-20}{-10}
=+2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+13}{2*-5}=\frac{6}{-10}
=-3/5
$