2x^2-7.5+3.5x=0

Solution for 2x^2-7.5+3.5x=0 equation:

2x^2-7.5+3.5x=0

a = 2; b = 3.5; c = -7.5;
Δ = b2-4ac
Δ = 3.52-4·2·(-7.5)
Δ = 72.25
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{-(3.5)-\sqrt{72.25}}{2*2}=\frac{-3.5-\sqrt{72.25}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3.5)+\sqrt{72.25}}{2*2}=\frac{-3.5+\sqrt{72.25}}{4}
$