(2x-5)(3x+10)=0

Simple and best practice solution for (2x-5)(3x+10)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (2x-5)(3x+10)=0 equation:



(2x-5)(3x+10)=0
We multiply parentheses ..
(+6x^2+20x-15x-50)=0
We get rid of parentheses
6x^2+20x-15x-50=0
We add all the numbers together, and all the variables
6x^2+5x-50=0
a = 6; b = 5; c = -50;
Δ = b2-4ac
Δ = 52-4·6·(-50)
Δ = 1225
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1225}=35$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-35}{2*6}=\frac{-40}{12} =-3+1/3 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+35}{2*6}=\frac{30}{12} =2+1/2 $

See similar equations:

| 5m+7/3m=4 | | x2+6x−10=30 | | x=8=26 | | x+5x=90° | | -1/2x^2+7x-1=0 | | 1=17-4x | | -5k+23=0 | | -k*5-7+6*5=0 | | -3(4a+8)=-16-9a | | 0.2/v=-3.5 | | 8x+6=-4+6x+22 | | 8x+6=-4+6x=22 | | X^2+36=9x-2x^2 | | 7(x-6)-7=-49 | | 6x+8=5x-6/2 | | 16-3y=38 | | X²-15x=5 | | d/20+1020+d/16=1140 | | −(w−14)=30 | | -18x+90=18 | | 29=4(3n-6) | | 12n^2-20=0 | | y^2+3y-10=0* | | 2√3x2√3=x | | 2y^2+8y+6=0* | | 54=2x-20 | | (T)=64+4t | | 4(4x-4)=5x-49 | | -8z+5+4=-29 | | -31=2(x-3)-3 | | -49=3(2x-2)-1 | | P(x)=5/2x-7/5 |

Equations solver categories