-2x(x-1)=3x

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


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

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

Solving
2x + -2x2 = 3x

Solving for variable 'x'.

Reorder the terms:
2x + -3x + -2x2 = 3x + -3x

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

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

| 3[x-4]=6 | | -8(1+8r)=520 | | 3X=LOG(6)*216 | | 2[2x+3]=7 | | 6=c-6 | | 14-6x=-8x | | 2[x-4]=6 | | 9p-2(4p-7x)+8x= | | 15-2x=5x | | 42x^3-6x=0 | | d=2000-2.5p | | -3(6p+5)-2(5-17p)=3(4+5p) | | 4.6+m=11.2 | | 3[5x-2(y-3)]= | | 4.2=3.15+u | | 7+5x=6x | | 3.15=3.15+u | | -6x^2-4x+3=0 | | 3-3*6+2-8= | | .75(4.2)=v | | 10-7x=-3 | | P^2+36+12p=0 | | 4cd-5-2cd+9= | | (6+4i)(6-4i)= | | 3+x-7+2=x-2 | | 3(5r+4)-4(r+8)= | | (4+u)(5u+9)=0 | | 4b=3b+25 | | 1x+28=78 | | 7=2x+20 | | 12*2400+1240= | | 4v-5=-5 |

Equations solver categories