2x^2-30x-675=0

Solution for 2x^2-30x-675=0 equation:

2x^2-30x-675=0

a = 2; b = -30; c = -675;
Δ = b2-4ac
Δ = -302-4·2·(-675)
Δ = 6300
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:

$\sqrt{\Delta}=\sqrt{6300}=\sqrt{900*7}=\sqrt{900}*\sqrt{7}=30\sqrt{7}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30\sqrt{7}}{2*2}=\frac{30-30\sqrt{7}}{4}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30\sqrt{7}}{2*2}=\frac{30+30\sqrt{7}}{4}
$