[1+7x][1-7x]=

Solution for [1+7x][1-7x]= equation:

Simplifying
[1 + 7x][1 + -7x] = 0

Multiply [1 + 7x] * [1 + -7x]
[1[1 + -7x] + 7x * [1 + -7x]] = 0
[[1 * 1 + -7x * 1] + 7x * [1 + -7x]] = 0
[[1 + -7x] + 7x * [1 + -7x]] = 0
[1 + -7x + [1 * 7x + -7x * 7x]] = 0
[1 + -7x + [7x + -49x2]] = 0

Combine like terms: -7x + 7x = 0
[1 + 0 + -49x2] = 0
[1 + -49x2] = 0

Solving
1 + -49x2 = 0

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + -49x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -49x2 = 0 + -1
-49x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-49x2 = -1

Divide each side by '-49'.
x2 = 0.02040816327

Simplifying
x2 = 0.02040816327

Take the square root of each side:
x = {-0.142857143, 0.142857143}