7.64x^2+2.75x=5.36

Solution for 7.64x^2+2.75x=5.36 equation:

7.64x^2+2.75x=5.36

We move all terms to the left:

7.64x^2+2.75x-(5.36)=0

We add all the numbers together, and all the variables

7.64x^2+2.75x-5.36=0

a = 7.64; b = 2.75; c = -5.36;
Δ = b2-4ac
Δ = 2.752-4·7.64·(-5.36)
Δ = 171.3641
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{-(2.75)-\sqrt{171.3641}}{2*7.64}=\frac{-2.75-\sqrt{171.3641}}{15.28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(2.75)+\sqrt{171.3641}}{2*7.64}=\frac{-2.75+\sqrt{171.3641}}{15.28}
$