(3x+5)(2x+4)=

Simple and best practice solution for (3x+5)(2x+4)= 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+5)(2x+4)= equation: 


Simplifying
(3x + 5)(2x + 4) = 0

Reorder the terms:
(5 + 3x)(2x + 4) = 0

Reorder the terms:
(5 + 3x)(4 + 2x) = 0

Multiply (5 + 3x) * (4 + 2x)
(5(4 + 2x) + 3x * (4 + 2x)) = 0
((4 * 5 + 2x * 5) + 3x * (4 + 2x)) = 0
((20 + 10x) + 3x * (4 + 2x)) = 0
(20 + 10x + (4 * 3x + 2x * 3x)) = 0
(20 + 10x + (12x + 6x2)) = 0

Combine like terms: 10x + 12x = 22x
(20 + 22x + 6x2) = 0

Solving
20 + 22x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + 11x + 3x2) = 0

Factor a trinomial.
2((2 + x)(5 + 3x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

Add '-5' to each side of the equation.
5 + -5 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667
Solution
x = {-2, -1.666666667}

See similar equations:

| 8m-6=12 | | 12x+15=11x+21 | | 3x+x+(x+5)=80 | | 24x^2-3x+8=0 | | (8n^2-5n+1)+(9n^2-7n+2)= | | 5t-s+4t+4s= | | 11x+30=x+50 | | -4a+5=-3 | | 24x^2+3x+8=0 | | (u+5)(u+5)=2u^2+3u+31 | | 7(x-2)+4=5x | | 2a-8=6 | | n+.30n=14.56 | | 3(x+2)+5=2(x-1) | | (6x+9)+(x+3)= | | 47-9= | | 24x^2+30x+8=0 | | 15-2e-e^2=0 | | 24x^2-30x+8=0 | | (-y-5)(-y-5)= | | (7a+4)+(2a+4)= | | 18-6x=6(1+6x) | | 4(3x+1)-7x=6+5x+2 | | (2x-7)(1+x)=0 | | 6y-48=2y | | .2x+1.4=6.4 | | 57-3x=24x+24 | | (5w-5)(5w-5)= | | (2w-3)(2w-3)= | | 16w^2+24w+9=0 | | 4x-4=5x | | (3x+2)(7x-7)= |

Equations solver categories