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

Solution for 7(x+1)3(x-1)= equation:

Simplifying
7(x + 1) * 3(x + -1) = 0

Reorder the terms:
7(1 + x) * 3(x + -1) = 0

Reorder the terms:
7(1 + x) * 3(-1 + x) = 0

Reorder the terms for easier multiplication:
7 * 3(1 + x)(-1 + x) = 0

Multiply 7 * 3
21(1 + x)(-1 + x) = 0

Multiply (1 + x) * (-1 + x)
21(1(-1 + x) + x(-1 + x)) = 0
21((-1 * 1 + x * 1) + x(-1 + x)) = 0
21((-1 + 1x) + x(-1 + x)) = 0
21(-1 + 1x + (-1 * x + x * x)) = 0
21(-1 + 1x + (-1x + x2)) = 0

Combine like terms: 1x + -1x = 0
21(-1 + 0 + x2) = 0
21(-1 + x2) = 0
(-1 * 21 + x2 * 21) = 0
(-21 + 21x2) = 0

Solving
-21 + 21x2 = 0

Solving for variable 'x'.

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

Add '21' to each side of the equation.
-21 + 21 + 21x2 = 0 + 21

Combine like terms: -21 + 21 = 0
0 + 21x2 = 0 + 21
21x2 = 0 + 21

Combine like terms: 0 + 21 = 21
21x2 = 21

Divide each side by '21'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}