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

Simple and best practice solution for (3x+1)(2x-4)=0 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 (3x+1)(2x-4)=0 equation: 


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

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

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

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

Combine like terms: 2x + -12x = -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((-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:

| 12t=-24 | | -4-(3+6m)=0.5(4+2m) | | (y^2-2y)+(2y-y^2)-(y-2)= | | 25=3y+4 | | 750.00-50.00=0 | | 3+(y-1)-(y-3)= | | 9x-4+8x=1 | | 15s=90 | | 2m-3=6 | | m+(-50)=123 | | 10s=100 | | -24+17x-1-18x=-35+x | | 5s=10 | | (x+3)*(x-1)= | | 4s*4=64 | | 5(w+y)= | | 5*w+y= | | y=0x+2000 | | 5xw+y= | | 180=65*2+x | | 180=102+2x | | 7(x-2)=-3(x+1)+11 | | 9s*4=144 | | 30d-6+12=18+6d | | 180=74+2x | | c+12=24 | | 24d=12 | | y=x^3+7x^2-145x+29 | | =25m+10m^2 | | 5s*5=120 | | 7x-2yi=14+6i | | y^2=500 |

Equations solver categories