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

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


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

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

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

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

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

Solving
-2 + 2x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + x + 6x2) = 0

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

Ignore the factor 2.

Subproblem 1
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

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 = {-0.5, 0.3333333333}

See similar equations:

| mgh=1/2m*v2 | | T/0.31.7/0.9 | | b+8b=108 | | cos23=6/x | | 5(x-5)=-2x+45 | | 11y-2y=144 | | 6a+1=49 | | xLog(1.667)=Log(3) | | 41=x+33 | | 10+9=p | | 8v=6v+14 | | 13-2(1-15)/4 | | Pb=(h*.433*spgr)+OHP+VP | | 5y-40=40 | | 7y-6=4y-8 | | 3(x-42)+1=-4x+5 | | 10r^2-21r+8=0 | | 3b-8=34 | | xLog(15)=Log(3) | | 17v=24 | | 8x+38-8=90 | | 0=n^2-5n+6 | | 7-E+3.3=6.1 | | 5(10-2)= | | 14s-5-20s=16s+17 | | 3(x-6)-8x=-2+5(2x+1)true | | f(x)=-x+9x | | a/2-5=11 | | 2sin(0)/0 | | 3x+38+5x-8=90 | | 16.13+4.8q-10.53=-10.78+3.9q | | 4x-6+2=90 |

Equations solver categories