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

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


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

Reorder the terms:
2x(5 + x) + 3x = 0
(5 * 2x + x * 2x) + 3x = 0
(10x + 2x2) + 3x = 0

Reorder the terms:
10x + 3x + 2x2 = 0

Combine like terms: 10x + 3x = 13x
13x + 2x2 = 0

Solving
13x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(13 + 2x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

Move all terms containing x to the left, all other terms to the right.

Simplifying
x = 0

Subproblem 2
Set the factor '(13 + 2x)' equal to zero and attempt to solve:

Simplifying
13 + 2x = 0

Solving
13 + 2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + 2x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2x = 0 + -13
2x = 0 + -13

Combine like terms: 0 + -13 = -13
2x = -13

Divide each side by '2'.
x = -6.5

Simplifying
x = -6.5
Solution
x = {0, -6.5}

See similar equations:

| 4x+4z-2y=9 | | 3x+6=5x-1 | | 3x-14-6x+1=20-3x-3-5x | | (X-5)(x-5)=-36 | | -3y-2y=-5x+12 | | 5p=-2.5 | | -64+p^2=0 | | 10z-25=9z+36 | | Y+3x+5=0 | | 55+x+24+54=180 | | 1.12g+BROWN=MCFLY | | 8x+16=-4y | | 1411.2416=4*3.14*r^2 | | 6x+15=8x-10 | | d+18=21 | | 8k+2=7k+1 | | 2y+8=12x | | 3x+17=-41 | | h-48-17h=42 | | 8x+7=35 | | 86-527= | | 28=2(w+4)-7w | | 2y=3x-12 | | h+10=85 | | 30x-20=-2x | | 4m+9=5-6(6m+6) | | 3(x+10)=6x+33 | | -3h-ac=c-4 | | 8x-9y^2=3 | | 9224.1896=4*3.14*r^2 | | 30x-20=2x | | X+4.2=11 |

Equations solver categories