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

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


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

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

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

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

Combine like terms: 3x + -8x = -5x
(-8 + -5x + 3x2) = 0

Solving
-8 + -5x + 3x2 = 0

Solving for variable 'x'.

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


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

Simplifying
-1 + -1x = 0

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

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

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

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

Simplifying
x = -1

Subproblem 2
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

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

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667
Solution
x = {-1, 2.666666667}

See similar equations:

| 12y-4=47 | | 2(x+2)+3x-8=16 | | 2(x-1)-1/2x=0 | | X/3.7=19.24 | | (16x-42)=(9x+14) | | 14a-35=-21 | | 5x+7=-11x+3 | | 12y+4=47 | | 4x+35x=21x+16 | | 12x+12=-2x-2 | | 10m+6=15m-3 | | 2(4d-9)=14 | | U-12=1 | | X-1/3=1/12 | | 1=k+3/6 | | 15x^2-12X+8=0 | | 3(2x+5)=46-7x | | 2(4d+7)=62 | | X-3.3=7.6 | | -5a-6=7 | | 12+5s= | | Log(v^2+60)=log(16v-3) | | r/4=196 | | (e^12-5x)-7=123 | | 5x+14=-64-8 | | 5/9w=12 | | 6*-6-3= | | 1.25=22.50 | | 6x+8y=400 | | 9u+15=3(u+1) | | 6x-a= | | 1.3x=9.62 |

Equations solver categories