(7x-9)(7x+9)=0

Solution for (7x-9)(7x+9)=0 equation:

Simplifying
(7x + -9)(7x + 9) = 0

Reorder the terms:
(-9 + 7x)(7x + 9) = 0

Reorder the terms:
(-9 + 7x)(9 + 7x) = 0

Multiply (-9 + 7x) * (9 + 7x)
(-9(9 + 7x) + 7x * (9 + 7x)) = 0
((9 * -9 + 7x * -9) + 7x * (9 + 7x)) = 0
((-81 + -63x) + 7x * (9 + 7x)) = 0
(-81 + -63x + (9 * 7x + 7x * 7x)) = 0
(-81 + -63x + (63x + 49x2)) = 0

Combine like terms: -63x + 63x = 0
(-81 + 0 + 49x2) = 0
(-81 + 49x2) = 0

Solving
-81 + 49x2 = 0

Solving for variable 'x'.

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

Add '81' to each side of the equation.
-81 + 81 + 49x2 = 0 + 81

Combine like terms: -81 + 81 = 0
0 + 49x2 = 0 + 81
49x2 = 0 + 81

Combine like terms: 0 + 81 = 81
49x2 = 81

Divide each side by '49'.
x2 = 1.653061224

Simplifying
x2 = 1.653061224

Take the square root of each side:
x = {-1.285714286, 1.285714286}