(7x+2)(7x-2)=0

Solution for (7x+2)(7x-2)=0 equation:

Simplifying
(7x + 2)(7x + -2) = 0

Reorder the terms:
(2 + 7x)(7x + -2) = 0

Reorder the terms:
(2 + 7x)(-2 + 7x) = 0

Multiply (2 + 7x) * (-2 + 7x)
(2(-2 + 7x) + 7x * (-2 + 7x)) = 0
((-2 * 2 + 7x * 2) + 7x * (-2 + 7x)) = 0
((-4 + 14x) + 7x * (-2 + 7x)) = 0
(-4 + 14x + (-2 * 7x + 7x * 7x)) = 0
(-4 + 14x + (-14x + 49x2)) = 0

Combine like terms: 14x + -14x = 0
(-4 + 0 + 49x2) = 0
(-4 + 49x2) = 0

Solving
-4 + 49x2 = 0

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 49x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 49x2 = 0 + 4
49x2 = 0 + 4

Combine like terms: 0 + 4 = 4
49x2 = 4

Divide each side by '49'.
x2 = 0.08163265306

Simplifying
x2 = 0.08163265306

Take the square root of each side:
x = {-0.285714286, 0.285714286}