2x(3x-4)=8x-4-2x

Simple and best practice solution for 2x(3x-4)=8x-4-2x 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(3x-4)=8x-4-2x equation: 


Simplifying
2x(3x + -4) = 8x + -4 + -2x

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

Reorder the terms:
-8x + 6x2 = -4 + 8x + -2x

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

Solving
-8x + 6x2 = -4 + 6x

Solving for variable 'x'.

Reorder the terms:
4 + -8x + -6x + 6x2 = -4 + 6x + 4 + -6x

Combine like terms: -8x + -6x = -14x
4 + -14x + 6x2 = -4 + 6x + 4 + -6x

Reorder the terms:
4 + -14x + 6x2 = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
4 + -14x + 6x2 = 0 + 6x + -6x
4 + -14x + 6x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
4 + -14x + 6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -7x + 3x2) = 0

Factor a trinomial.
2((1 + -3x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(1 + -3x)' equal to zero and attempt to solve:

Simplifying
1 + -3x = 0

Solving
1 + -3x = 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 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve:

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

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

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

Divide each side by '-1'.
x = 2

Simplifying
x = 2
Solution
x = {0.3333333333, 2}

See similar equations:

| 9x-99=18 | | -5f^2-7f-1=0 | | 3(x+4)-7=39 | | d^2-4=0 | | -4u^2+5=0 | | x+(x+4)=x+x+4 | | 3(x+4)-7=24 | | 5t^2+5t-7=0 | | 85=8/5x | | -3y^2+4y-1=0 | | 0.5(0.3x+4)=0.4(2x-5)+2 | | -36=6x+1 | | 9y=y-25 | | x*5+4=x+2 | | 5(2x+6)=5x-12-x | | 12=6*2 | | x*7+12=x+7 | | 6-7/8x7 | | 3d-30=-2 | | x(x+0.15)=0.045 | | 20=4x-7 | | 5x^4-4x^3-9x^2+6x-4=0 | | x(x+0.13)=0.051 | | 1/2+65=3/5 | | -1/3x^-4/3 | | 4s^2-7=0 | | 3x+28+x=180 | | 9n^2-5n-9=0 | | X^4+6=X+3 | | 2/5x^-4/5 | | 3(x-2)(x+5)=3(x+1)(x-1)+3 | | Q^2+10q+21=0 |

Equations solver categories