(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 = 10x
(2 + 10x + 12x2) = 0

Solving
2 + 10x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(1 + 5x + 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:

| 5x^2+4=184 | | -3(x-2)+1=28 | | .4y=2x | | y/5+8=28 | | 15x^2+100+125=0 | | 1000=100(x-2) | | -3p-14=4 | | 4.9t^2+25t-120=0 | | 12.54+0.08h=13.04-0.09h | | 4(3a+6)+2a+27=93 | | n+16=34 | | 12.54+0.08=13.04-0.09 | | u^2-2=2u^2-10u+16 | | 1/3n=9 | | 12-29(x-5)=20 | | -20=-4x-8 | | 10=5(x-5) | | 72x^3-63x^2+8x-7= | | 4(3a+6)+2a+27=22 | | x/5+3=3 | | (2y/4y+2)(14y+7/4) | | 14=zx-2 | | x^3-9x+10=0 | | 8y-13-8=4 | | 5(m-2)+36=-36 | | 3(x+2)-4+2x=22 | | 2x+5=x-2 | | 5x+7x-64=32-4x | | 2x^2-x-11=0 | | 21+26m=42+19m | | 3.2x+1.2=4.56 | | x^2+1/2x+1/16=4/9 |

Equations solver categories