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

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


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

Reorder the terms:
-2x(-3 + 4x) = 2x
(-3 * -2x + 4x * -2x) = 2x
(6x + -8x2) = 2x

Solving
6x + -8x2 = 2x

Solving for variable 'x'.

Reorder the terms:
6x + -2x + -8x2 = 2x + -2x

Combine like terms: 6x + -2x = 4x
4x + -8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
4x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '4x'.
4x(1 + -2x) = 0

Ignore the factor 4.

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:

| 2x^2+12x+9=0 | | 11=6x+5-4x | | -2(3n+2)+5n=-6 | | 5x+3=6x-3 | | 3y-64=4(4y-3) | | 200+x(.250)=367.50 | | 19.95+0.05n=23.74 | | 8a-32=7a+10 | | 26x-1=24x+9 | | b-7+7b=24 | | 5(x+2)-7=3 | | 8-32=7a+10 | | 5(2k+3)=25 | | 5x+11=-9+7x | | 15+7=x | | 18=5x+3-2x | | 2x-9=2(x+6) | | 3x+11-7x=-37 | | 5+7q=9+6q | | (-5x*4y)*2= | | 5x-2(x+3)=0 | | 2(x+9)+5=1 | | 2(3f-1)=3(f-5) | | 2.3=4.7-0.6x | | -3(t-4)+8t=9t-9 | | 44-2=43x+1 | | 5x+2-3=0 | | 4-3x=-5(1+2x) | | -6x+5(x-1)=-(-10+x) | | 4x+(x+2)-5x=10 | | 3x^5+15x=18x^3 | | .333+.666m=.666m-.666 |

Equations solver categories