(7x+6)(7x-6)=0

Solution for (7x+6)(7x-6)=0 equation:

Simplifying
(7x + 6)(7x + -6) = 0

Reorder the terms:
(6 + 7x)(7x + -6) = 0

Reorder the terms:
(6 + 7x)(-6 + 7x) = 0

Multiply (6 + 7x) * (-6 + 7x)
(6(-6 + 7x) + 7x * (-6 + 7x)) = 0
((-6 * 6 + 7x * 6) + 7x * (-6 + 7x)) = 0
((-36 + 42x) + 7x * (-6 + 7x)) = 0
(-36 + 42x + (-6 * 7x + 7x * 7x)) = 0
(-36 + 42x + (-42x + 49x2)) = 0

Combine like terms: 42x + -42x = 0
(-36 + 0 + 49x2) = 0
(-36 + 49x2) = 0

Solving
-36 + 49x2 = 0

Solving for variable 'x'.

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

Add '36' to each side of the equation.
-36 + 36 + 49x2 = 0 + 36

Combine like terms: -36 + 36 = 0
0 + 49x2 = 0 + 36
49x2 = 0 + 36

Combine like terms: 0 + 36 = 36
49x2 = 36

Divide each side by '49'.
x2 = 0.7346938776

Simplifying
x2 = 0.7346938776

Take the square root of each side:
x = {-0.857142857, 0.857142857}