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

Solution for 3(x+1)(x-1)=8x equation:

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

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

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

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

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

Solving
-3 + 3x2 = 8x

Solving for variable 'x'.

Reorder the terms:
-3 + -8x + 3x2 = 8x + -8x

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

Factor a trinomial.
(-1 + -3x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

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

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

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

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-0.3333333333, 3}