2x(3x-1)=3x(4x+2)

Simple and best practice solution for 2x(3x-1)=3x(4x+2) 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(3x-1)=3x(4x+2) equation: 


Simplifying
2x(3x + -1) = 3x(4x + 2)

Reorder the terms:
2x(-1 + 3x) = 3x(4x + 2)
(-1 * 2x + 3x * 2x) = 3x(4x + 2)
(-2x + 6x2) = 3x(4x + 2)

Reorder the terms:
-2x + 6x2 = 3x(2 + 4x)
-2x + 6x2 = (2 * 3x + 4x * 3x)
-2x + 6x2 = (6x + 12x2)

Solving
-2x + 6x2 = 6x + 12x2

Solving for variable 'x'.

Reorder the terms:
-2x + -6x + 6x2 + -12x2 = 6x + 12x2 + -6x + -12x2

Combine like terms: -2x + -6x = -8x
-8x + 6x2 + -12x2 = 6x + 12x2 + -6x + -12x2

Combine like terms: 6x2 + -12x2 = -6x2
-8x + -6x2 = 6x + 12x2 + -6x + -12x2

Reorder the terms:
-8x + -6x2 = 6x + -6x + 12x2 + -12x2

Combine like terms: 6x + -6x = 0
-8x + -6x2 = 0 + 12x2 + -12x2
-8x + -6x2 = 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
-8x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '-2x'.
-2x(4 + 3x) = 0

Ignore the factor -2.

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 '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333
Solution
x = {0, -1.333333333}

See similar equations:

| -8b+7+6b=3b+12 | | 200+0.05x=75+0.010 | | 0.5(x+2)=0.9x+.02 | | 200+0.05x=75+0.10 | | 200+.5x=75+.10 | | 2*x*(18-x)=64 | | 15x.x-3x-5x+1=15x.x-11x-14 | | 2y=-4y-8 | | b^4=400 | | -8x-11x=-14-1 | | ab-5=w | | 3x(5x-1)-5x+1=5x(3x+2)-7(3x+2) | | (2x+6)*(2x+6)=-21 | | 16n^2-49= | | -4(b-11)-7b-44=-33 | | x+5+3x-3=90 | | (x+16)2-5=0 | | 2.5x+0.3y=-13.7 | | 2x+3=-5x-12 | | y=10x+70 | | 25-3v=2v+5 | | 9y-4y=-20 | | 30=59(r/5-3) | | -5+6=5z-4(z+9) | | y=130000(1+.06)10 | | p^2+8p+4=-8 | | (3x-1)(5x-1)=(5x-7)(3x+2) | | 0=6x^(3/2)-(3/5)x^(5/2) | | x-(0.53x)=35000 | | h=-5t^2+65t+70 | | 500=5x-125 | | 9+3x+1-2x=22 |

Equations solver categories