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

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


Simplifying
(3x + 5)(8 + -1x) = 0

Reorder the terms:
(5 + 3x)(8 + -1x) = 0

Multiply (5 + 3x) * (8 + -1x)
(5(8 + -1x) + 3x * (8 + -1x)) = 0
((8 * 5 + -1x * 5) + 3x * (8 + -1x)) = 0
((40 + -5x) + 3x * (8 + -1x)) = 0
(40 + -5x + (8 * 3x + -1x * 3x)) = 0
(40 + -5x + (24x + -3x2)) = 0

Combine like terms: -5x + 24x = 19x
(40 + 19x + -3x2) = 0

Solving
40 + 19x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + -1x)(5 + 3x) = 0


Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

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 = {8, -1.666666667}

See similar equations:

| 3n-1.5= | | (3x+5)(8-w)=0 | | 21x+3y=15 | | 5/2y-5=-7/3y-1/4 | | 120/3 | | 15.3=Z-(-29.3) | | (x+5)=(x-7) | | 2x-(-8)=12 | | -b=bcd+a | | 3(-8)=2x-28 | | a-b=bcd | | 2s*2s+s=30 | | 1.2x-2.8x=4.8 | | (x+5)(x+5)=(x+7)(x+7) | | 3n-9=n+13 | | 120xyz=0 | | 5y=95 | | y+1=9/7x-6 | | -7x+21=7 | | 0.3*1.4= | | 3(2n+1)-2(h-4)=21 | | 7x-15/4 | | 3x^4+6x^2=0 | | 6x^2-2x-60=0 | | 45=6x-45 | | 0=x^2-8x+13 | | 3X+24=6 | | 30a+8=98 | | 40x+48=0 | | x-6+4=-3-3 | | d-e=k | | x+.06x=20 |

Equations solver categories