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

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

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

Reorder the terms:
(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}