(6x+4)(3x-1)=

Simple and best practice solution for (6x+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 (6x+4)(3x-1)= equation: 


Simplifying
(6x + 4)(3x + -1) = 0

Reorder the terms:
(4 + 6x)(3x + -1) = 0

Reorder the terms:
(4 + 6x)(-1 + 3x) = 0

Multiply (4 + 6x) * (-1 + 3x)
(4(-1 + 3x) + 6x * (-1 + 3x)) = 0
((-1 * 4 + 3x * 4) + 6x * (-1 + 3x)) = 0
((-4 + 12x) + 6x * (-1 + 3x)) = 0
(-4 + 12x + (-1 * 6x + 3x * 6x)) = 0
(-4 + 12x + (-6x + 18x2)) = 0

Combine like terms: 12x + -6x = 6x
(-4 + 6x + 18x2) = 0

Solving
-4 + 6x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 3x + 9x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve:

Simplifying
-2 + -3x = 0

Solving
-2 + -3x = 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 + -3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 0 + 2
-3x = 0 + 2

Combine like terms: 0 + 2 = 2
-3x = 2

Divide each side by '-3'.
x = -0.6666666667

Simplifying
x = -0.6666666667

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 = {-0.6666666667, 0.3333333333}

See similar equations:

| 40.77=y/5+2.4y+y/10 | | 12x+15-36-8x=0 | | 2(x^2+7x-141)=0 | | 21-2w-4-w^2=0 | | 2x=4000 | | 26-x=3(x-2) | | 2x*3=12x*4 | | -5x-11=41 | | 9(5x-2)=21 | | 3x/2+4x=22 | | 21x=42x | | 6x^2+6x+48=0 | | w^2-4-2w^2-2w+21=0 | | (5+v)(5v+2)=0 | | 7+4(6-5x)=3-16x | | 6s-1.5s+2.25s=40.50 | | -10(x-1)=10-1x | | -7x+8y=15 | | -xy^4(7xy^2+2xy-8x)= | | 2mx^2=-x^2-8x+6 | | 2mx^2=-x-8x+6 | | u^2+6u-7=0 | | x-1=25/5 | | -f/4+20.5=12.9 | | (2m+1)x^2=0 | | 16[x+2]-8=16x+24 | | 5+3+x=27 | | 4x^7+18x^6+18x^5=0 | | 6+5+x=14 | | -9+5x=-24 | | 100+1x=(5-1)x | | -46=5x-3x |

Equations solver categories