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

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


Simplifying
(2x + 4)(3x + -1) = 0

Reorder the terms:
(4 + 2x)(3x + -1) = 0

Reorder the terms:
(4 + 2x)(-1 + 3x) = 0

Multiply (4 + 2x) * (-1 + 3x)
(4(-1 + 3x) + 2x * (-1 + 3x)) = 0
((-1 * 4 + 3x * 4) + 2x * (-1 + 3x)) = 0
((-4 + 12x) + 2x * (-1 + 3x)) = 0
(-4 + 12x + (-1 * 2x + 3x * 2x)) = 0
(-4 + 12x + (-2x + 6x2)) = 0

Combine like terms: 12x + -2x = 10x
(-4 + 10x + 6x2) = 0

Solving
-4 + 10x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 5x + 3x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
x = {-2, 0.3333333333}

See similar equations:

| 3x+3-x=3+x-3 | | -1/3(6-x)=-1 | | X^3+7x^2+15x+105=0 | | 36=(x)3-(x)1.8 | | 7(m+9)+4(2m+6)=14(m+4)+10 | | 2.5+.25n=.75n | | 3y-4+y+28=5y+30-3y | | x^2-12x+y^2-6y-4=0 | | 3c-1= | | x^2-12x+y^2-6y=4 | | 4x^2+200x+804=0 | | 17+13=-5(9x-6) | | 6+4r-2=9r+10-3r | | 5x+24=2x+21 | | 4(x+3)=(3x-1) | | 4/9(-1) | | 20s^2+13sb-15b= | | 20+6x=172-4y | | 10x=5+6x | | -6(z+-1)=-5z-3 | | 10x+5y=2925 | | -6(z+-1)=-5-3 | | 20+6x=172-4g | | -6(z-1)=-5-3 | | 3x-1=7x-8 | | 3e^4x+1=143 | | 4x+12-3x=0 | | 3(2x+5)=-50+59 | | 4x+12-3x= | | 1.5=0.2(x-0.3) | | 4/9(3c)= | | x^2=-9+6x |

Equations solver categories