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

Simple and best practice solution for (5x+2)(2x-3)=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 (5x+2)(2x-3)=0 equation:



(5x+2)(2x-3)=0
We multiply parentheses ..
(+10x^2-15x+4x-6)=0
We get rid of parentheses
10x^2-15x+4x-6=0
We add all the numbers together, and all the variables
10x^2-11x-6=0
a = 10; b = -11; c = -6;
Δ = b2-4ac
Δ = -112-4·10·(-6)
Δ = 361
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{361}=19$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-11)-19}{2*10}=\frac{-8}{20} =-2/5 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-11)+19}{2*10}=\frac{30}{20} =1+1/2 $

See similar equations:

| C(x)=-0.1x^2+2x | | 2y+5=6y-1 | | 25x/5+4.2x=-7x+40/2 | | 4x^2+16=5x^2+14 | | 7x(3x+5)=700 | | 4*2y+4/2=28 | | 2(4^2x-3)-3=9 | | 1z=3z+8 | | 4/9x-5/6=7/12 | | 15-2y=20-3y | | p/2-9=3 | | 6-4(3x-4)=-25 | | 4k+5-(3k+2)=6k-4-(4k-5) | | X2-2x=5 | | 150=1/3*3,14159*4^2*h | | 74x=34918 | | 9(v+8)=3v+30 | | 3*p+7/3=15 | | -3(-3x-5)-5x+2=-1 | | 8n+7.7=65.3 | | -8x-10+10x+13=2 | | 5(0.5)=3x-(0.5) | | 3w+3=4w-5 | | -4(2x+1)=-6 | | 3j+5/4=2 | | -9-4(7x-7)=-10 | | 3y+5/4=2 | | -2q=11 | | -5(7x+4)-4x=-2 | | 8+-4/b=5 | | 3/y+5=9 | | 3x6/89x375=34 |

Equations solver categories