24x^2-22x^2-30x=0

Solution for 24x^2-22x^2-30x=0 equation:

24x^2-22x^2-30x=0

We add all the numbers together, and all the variables

2x^2-30x=0

a = 2; b = -30; c = 0;
Δ = b2-4ac
Δ = -302-4·2·0
Δ = 900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{900}=30$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-30}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+30}{2*2}=\frac{60}{4}
=15
$