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

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


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

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

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

Multiply (2 + 4x) * (4 + 3x)
(2(4 + 3x) + 4x * (4 + 3x)) = 0
((4 * 2 + 3x * 2) + 4x * (4 + 3x)) = 0
((8 + 6x) + 4x * (4 + 3x)) = 0
(8 + 6x + (4 * 4x + 3x * 4x)) = 0
(8 + 6x + (16x + 12x2)) = 0

Combine like terms: 6x + 16x = 22x
(8 + 22x + 12x2) = 0

Solving
8 + 22x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 11x + 6x2) = 0

Factor a trinomial.
2((4 + 3x)(1 + 2x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying
4 + 3x = 0

Solving
4 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.
4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 3x = 0 + -4
3x = 0 + -4

Combine like terms: 0 + -4 = -4
3x = -4

Divide each side by '3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
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
Solution
x = {-1.333333333, -0.5}

See similar equations:

| p^2-4= | | Y=0.5(6x+40) | | 5m*5m= | | F(-2)=3(-2)-2(-2)+5 | | x+20+x+8=180 | | n^2-4n+4=-2 | | 8x+5=19-6 | | 2a+3-99=3a+33 | | 21+.05=15+.11m | | X-8x-10=18 | | 9r^2-6r-35= | | 12x+5x+13x=180 | | n^2-4n+6=-2 | | 2.5+0.075=0.1 | | 6x+12-9x= | | 7x-3(4x-8)= | | -3+-15=-9 | | 9y-4(-3y+2)=y+2 | | f/0.25=60 | | -5(x-4)-(x+10)=11 | | n+12=8.3 | | 24r^2-48r-192= | | 3(t-4)=5(t+1)-4 | | 60-2x=12 | | 2v^2+4v-2=5 | | 10+8x+x^2-x^3=0 | | 3p^2+36p+81= | | u/5=7/13 | | w/9=2/6 | | 5(x-4)-(x+10)=11 | | (b-10)(b+10)=0 | | 8x^3-27c^3= |

Equations solver categories