3x^2+2x(x+4)=0

Simple and best practice solution for 3x^2+2x(x+4)=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 3x^2+2x(x+4)=0 equation: 


Simplifying
3x2 + 2x(x + 4) = 0

Reorder the terms:
3x2 + 2x(4 + x) = 0
3x2 + (4 * 2x + x * 2x) = 0
3x2 + (8x + 2x2) = 0

Reorder the terms:
8x + 3x2 + 2x2 = 0

Combine like terms: 3x2 + 2x2 = 5x2
8x + 5x2 = 0

Solving
8x + 5x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + 5x) = 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 '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {0, -1.6}

See similar equations:

| 43-6x= | | Cos(7x)+5=0 | | 4(a-1)=52 | | 5*x-3=0 | | 6u-7=3u+7 | | (x^4-2x^2+1)=0 | | 6u-7=3v+7 | | 4x+5=45+8x | | -9-x=11 | | 2.25*y^2=4 | | 2x+6=2x+5 | | 9x+3-4x-10=6 | | 2k^2+k-2=0 | | x^2-10x-41=0 | | z^2-3(1+i)z+5i=0 | | 5-(3/4)(2x-4)=(1/2)x-7 | | 0.23=6.25*t^2 | | 4z+5=-4 | | 8x+12-4x-7=x+30+x-1 | | sin(2x+4)=0.5 | | 2x+5+4x+2= | | 3=0.6m^2 | | cos(2x+4)=0.5 | | 22p-4=26 | | 2y-3x+2=0 | | 9+2y=25 | | z^2+(-1+i)z+6+2i=0 | | 3x+8y=53x+4=7 | | y-3=19-10y | | 6+3a=a+19 | | 8t-1=5t | | 10(2x+3)-3(6x-4)=44 |

Equations solver categories