25-(14x+22)*x=0

Solution for 25-(14x+22)*x=0 equation:

25-(14x+22)*x=0

We multiply parentheses

-14x^2-22x+25=0

a = -14; b = -22; c = +25;
Δ = b2-4ac
Δ = -222-4·(-14)·25
Δ = 1884
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1884}=\sqrt{4*471}=\sqrt{4}*\sqrt{471}=2\sqrt{471}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-2\sqrt{471}}{2*-14}=\frac{22-2\sqrt{471}}{-28}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+2\sqrt{471}}{2*-14}=\frac{22+2\sqrt{471}}{-28}
$