4t^2+7t-24t=0

Solution for 4t^2+7t-24t=0 equation:

4t^2+7t-24t=0

We add all the numbers together, and all the variables

4t^2-17t=0

a = 4; b = -17; c = 0;
Δ = b2-4ac
Δ = -172-4·4·0
Δ = 289
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{289}=17$
$t_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-17)-17}{2*4}=\frac{0}{8}
=0
$
$t_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-17)+17}{2*4}=\frac{34}{8}
=4+1/4
$