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

Simple and best practice solution for (3x+1)(x-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+1)(x-8)=0 equation: 


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

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

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

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

Combine like terms: 1x + -24x = -23x
(-8 + -23x + 3x2) = 0

Solving
-8 + -23x + 3x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve:

Simplifying
-1 + -3x = 0

Solving
-1 + -3x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -3x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3x = 0 + 1
-3x = 0 + 1

Combine like terms: 0 + 1 = 1
-3x = 1

Divide each side by '-3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

Subproblem 2
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
Solution
x = {-0.3333333333, 8}

See similar equations:

| log(x)+log(x-2)=log(3x) | | logx+log(x-2)=log(3x) | | 9x^6-18x^5+45x^4= | | -(2x+3)= | | sin(8t)+sin(4t)=0 | | 3x-7=81 | | (11t+7)(4t-7)=0 | | 10y+5=Y+1 | | 15x^2+33x=0 | | z^2-4z+8=0 | | 5-7p+p-10= | | 2-3x=-6x+17 | | 15.80+x=20.90 | | 2(-4x-6)=-60 | | x-20.5=17 | | -7(10+x)=-63 | | 35b^2-6b-9=0 | | x-23.5=17.3 | | -4(2x+2)=0 | | 23.6=x*(x-3.1) | | 3x-3=-30+6x | | -3+12=-48 | | 10-5=2x(6-7) | | -4x+14=9+17x | | 4x^6-25x^4=0 | | x-6y=(-30) | | 8x-25=4x+10 | | 1.00v+3.20(33-v)=70.40 | | m/4-m=6 | | 6-9x+18=12 | | -8.2(10-x)=-31.98 | | 0=-7x^2+7x+6 |

Equations solver categories