2x*2x+3x-20=0

Solution for 2x*2x+3x-20=0 equation:

2x*2x+3x-20=0

We add all the numbers together, and all the variables

3x+2x*2x-20=0

Wy multiply elements

4x^2+3x-20=0

a = 4; b = 3; c = -20;
Δ = b2-4ac
Δ = 32-4·4·(-20)
Δ = 329
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{-(3)-\sqrt{329}}{2*4}=\frac{-3-\sqrt{329}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{329}}{2*4}=\frac{-3+\sqrt{329}}{8}
$