(3x+5)(2x+8)=0

Simple and best practice solution for (3x+5)(2x+8)=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+5)(2x+8)=0 equation: 


Simplifying
(3x + 5)(2x + 8) = 0

Reorder the terms:
(5 + 3x)(2x + 8) = 0

Reorder the terms:
(5 + 3x)(8 + 2x) = 0

Multiply (5 + 3x) * (8 + 2x)
(5(8 + 2x) + 3x * (8 + 2x)) = 0
((8 * 5 + 2x * 5) + 3x * (8 + 2x)) = 0
((40 + 10x) + 3x * (8 + 2x)) = 0
(40 + 10x + (8 * 3x + 2x * 3x)) = 0
(40 + 10x + (24x + 6x2)) = 0

Combine like terms: 10x + 24x = 34x
(40 + 34x + 6x2) = 0

Solving
40 + 34x + 6x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 17x + 3x2) = 0

Factor a trinomial.
2((4 + x)(5 + 3x)) = 0

Ignore the factor 2.

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

Simplifying
4 + x = 0

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

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

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

Simplifying
x = -4

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 = {-4, -1.666666667}

See similar equations:

| 2m+4n+7m+8n= | | -5[4-(3b+5)]=6-5(3b+8) | | x/3-7=-5 | | 3/2÷1/4 | | x-27=1 | | 4(9r+2)=6(1+6r)-10 | | x/8-2=-13 | | 9x^2+21-20=0 | | 8b+7=5b+9 | | -3x/12=2/3 | | 2x-5=13-2x | | x+32=x+50 | | 3=(2x^2)+5x | | Y=3x^2-75 | | -19+4=-1/2z+1/4z-1/8z | | -6/b-1=-9/7 | | abs(8-5x)=7 | | a^2-13a=-40 | | t=53-29x | | 6p-1p+9p=-5+1 | | 5x+8-3x=6x-8 | | 12-(x+6)=4x-4 | | 5z+9=-23 | | 2+3x=7-2x | | ⅔x-⅓=7/3 | | 4x=x+10.5 | | ln(x+4)+ln(4)=ln(x) | | (3x^2+6x)-(-4x^2-6x+5)= | | 10x-32x=29 | | -4z+6=4(-z+2) | | (2x+1)*(3x-5)= | | 81=3(w+7) |

Equations solver categories