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

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

Simplifying
(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}