3x=x(2x+4)

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


Simplifying
3x = x(2x + 4)

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

Solving
3x = 4x + 2x2

Solving for variable 'x'.

Combine like terms: 3x + -4x = -1x
-1x + -2x2 = 4x + 2x2 + -4x + -2x2

Reorder the terms:
-1x + -2x2 = 4x + -4x + 2x2 + -2x2

Combine like terms: 4x + -4x = 0
-1x + -2x2 = 0 + 2x2 + -2x2
-1x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-1x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '-1x'.
-1x(1 + 2x) = 0

Ignore the factor -1.

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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {0, -0.5}

See similar equations:

| 7(x-3)=4(x+5) | | 7x+9=6x-5 | | 7=3x+5 | | 7x-18=31 | | 3x+4=-3 | | x+5(3x-20)=10(x-4) | | (0.8x+6)(3x-0.8)= | | (0.9x+8)(3x-0.2)= | | 42=7a-14 | | 5a-10=25 | | 3a+12=18 | | 33=5a-17 | | 4a-7=9 | | 6a+6=24 | | 55=8a+7 | | 3a-1=8 | | 5a+1=11 | | 76=4x | | 72=6x | | 9x=54 | | 4x=108 | | 7x=77 | | 24=6x | | x-10-9x=23+x+3+3x | | 32=43-x | | 9=16-x | | 11-13x=14-12x | | 13=6+x | | 23=x+17 | | 3v-9v=-21-3v | | 4=x-2 | | 7=x+1 |

Equations solver categories