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

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


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

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

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

Multiply (5 + 3x) * (8 + 5x)
(5(8 + 5x) + 3x * (8 + 5x)) = 0
((8 * 5 + 5x * 5) + 3x * (8 + 5x)) = 0
((40 + 25x) + 3x * (8 + 5x)) = 0
(40 + 25x + (8 * 3x + 5x * 3x)) = 0
(40 + 25x + (24x + 15x2)) = 0

Combine like terms: 25x + 24x = 49x
(40 + 49x + 15x2) = 0

Solving
40 + 49x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + 3x)(8 + 5x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(8 + 5x)' equal to zero and attempt to solve:

Simplifying
8 + 5x = 0

Solving
8 + 5x = 0

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

Add '-8' to each side of the equation.
8 + -8 + 5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 0 + -8
5x = 0 + -8

Combine like terms: 0 + -8 = -8
5x = -8

Divide each side by '5'.
x = -1.6

Simplifying
x = -1.6
Solution
x = {-1.666666667, -1.6}

See similar equations:

| 100x+60x=2000 | | 2.5X+10= | | 2/8=x-3/4 | | .5(4x-6)=-1+3x | | 7/k-5=5/8 | | y+9=6x | | 3x^2-132+12=0 | | x-8/7=7/3 | | (x+4)+(x-3)+x=19 | | b+12.4=19.8 | | 7/a-8=8/2 | | 5x+3(2x-4)=43 | | 3v^2-2v-4=0 | | 2.5y+5= | | 9y-8y+3y= | | 18-(2x+8)=14 | | n-3n=13-4n | | -4y=-4x+10 | | n+5/7=2/3 | | 3x=y+11 | | 3.5+10m=7.98 | | 7r^2+6r+1=0 | | x+7/7=8/4 | | 16-9g=70 | | y=4-38-1.3 | | X+-z=yforz | | 3.5y+8= | | -4+x=3x+8 | | 2y=x-5 | | r^2-9r-12=0 | | -86-12=14a | | 5x-15+6=5x-9 |

Equations solver categories