(3x+2)(7x+4)=0

Simple and best practice solution for (3x+2)(7x+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+2)(7x+4)=0 equation: 


Simplifying
(3x + 2)(7x + 4) = 0

Reorder the terms:
(2 + 3x)(7x + 4) = 0

Reorder the terms:
(2 + 3x)(4 + 7x) = 0

Multiply (2 + 3x) * (4 + 7x)
(2(4 + 7x) + 3x * (4 + 7x)) = 0
((4 * 2 + 7x * 2) + 3x * (4 + 7x)) = 0
((8 + 14x) + 3x * (4 + 7x)) = 0
(8 + 14x + (4 * 3x + 7x * 3x)) = 0
(8 + 14x + (12x + 21x2)) = 0

Combine like terms: 14x + 12x = 26x
(8 + 26x + 21x2) = 0

Solving
8 + 26x + 21x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + 3x)(4 + 7x) = 0


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 '(4 + 7x)' equal to zero and attempt to solve:

Simplifying
4 + 7x = 0

Solving
4 + 7x = 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 + 7x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 7x = 0 + -4
7x = 0 + -4

Combine like terms: 0 + -4 = -4
7x = -4

Divide each side by '7'.
x = -0.5714285714

Simplifying
x = -0.5714285714
Solution
x = {-0.6666666667, -0.5714285714}

See similar equations:

| 2x+1+3x+9=90 | | x/2.0-x=1.25 | | 3/4x-2=30 | | 6x-9-2x=x+4x | | x-10=2x-14 | | 36=4x+3x+1 | | x^2/7=w-y | | x^2-6y=15 | | a+14=-5 | | 6(1.33)-7y=8 | | -11n=55 | | 7x+5x+3+8=6x+4+5x | | 2x*6=9 | | 36x+9y=18 | | (4x+5)(4x-4)= | | -9(4b+3)+37b-2=0 | | 5-2(7x-3)=0 | | 2e^4x+1=10 | | 21X+X^2= | | (y-6)(4-y)=0 | | 7=(10-g)/2 | | 4x+9+2x=51 | | 1.5n=5 | | 5(x+2)=80 | | z+y+3x-10=180 | | 4(3x+2)=-16-2 | | w^2-18w+81=0 | | 7(t-6)+8t=5(3t+4)-12 | | 2x+5=3(8+x) | | 3(x-1.3)=5.1 | | 10+20=-5(8x-6) | | 5(x+5)+5=30 |

Equations solver categories