6x+4=4x(x+3)

Simple and best practice solution for 6x+4=4x(x+3) 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 6x+4=4x(x+3) equation: 


Simplifying
6x + 4 = 4x(x + 3)

Reorder the terms:
4 + 6x = 4x(x + 3)

Reorder the terms:
4 + 6x = 4x(3 + x)
4 + 6x = (3 * 4x + x * 4x)
4 + 6x = (12x + 4x2)

Solving
4 + 6x = 12x + 4x2

Solving for variable 'x'.

Combine like terms: 6x + -12x = -6x
4 + -6x + -4x2 = 12x + 4x2 + -12x + -4x2

Reorder the terms:
4 + -6x + -4x2 = 12x + -12x + 4x2 + -4x2

Combine like terms: 12x + -12x = 0
4 + -6x + -4x2 = 0 + 4x2 + -4x2
4 + -6x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
4 + -6x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -3x + -2x2) = 0

Factor a trinomial.
2((1 + -2x)(2 + x)) = 0

Ignore the factor 2.

Subproblem 1
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

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {0.5, -2}

See similar equations:

| 100000*x^2+1000000000*x=0 | | 3x-9i=-9+(3y)i | | n-3-5=-6 | | 20c+6=5c+65 | | -2(3)+-2(-4y)-3y=14 | | 10x+9(0)=37 | | t^2+t=1 | | -m-7m=-16 | | 3(x-7)=26 | | (y-2)(16+4)=0 | | 4n-5n=3 | | 6(0)+12y=36 | | 6y+18x=0 | | bx-cx-by+cy= | | 2r+5s=1 | | 12+2x=3x-6 | | 6a=17(7a-[a+(a-1)]) | | 2*3f=8-3f | | 1+6x=6x+7 | | -3+4=-3x+8 | | s=4t-0.8t^2 | | Y=-0.3X+5.6 | | 2k+5=7k-3 | | (4x-12)5+(-24)=140 | | Y+6x=-3x | | 6x-1=x+5 | | 50=5(m+3) | | -0.4(-0.77+4x)=-1.2x | | -5x+11=2x-10 | | s+11.08=19.08 | | 12-5n=-9+2n | | 4.65=d-8 |

Equations solver categories