(7x-3)(7x+3)=0

Solution for (7x-3)(7x+3)=0 equation:

Simplifying
(7x + -3)(7x + 3) = 0

Reorder the terms:
(-3 + 7x)(7x + 3) = 0

Reorder the terms:
(-3 + 7x)(3 + 7x) = 0

Multiply (-3 + 7x) * (3 + 7x)
(-3(3 + 7x) + 7x * (3 + 7x)) = 0
((3 * -3 + 7x * -3) + 7x * (3 + 7x)) = 0
((-9 + -21x) + 7x * (3 + 7x)) = 0
(-9 + -21x + (3 * 7x + 7x * 7x)) = 0
(-9 + -21x + (21x + 49x2)) = 0

Combine like terms: -21x + 21x = 0
(-9 + 0 + 49x2) = 0
(-9 + 49x2) = 0

Solving
-9 + 49x2 = 0

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 49x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 49x2 = 0 + 9
49x2 = 0 + 9

Combine like terms: 0 + 9 = 9
49x2 = 9

Divide each side by '49'.
x2 = 0.1836734694

Simplifying
x2 = 0.1836734694

Take the square root of each side:
x = {-0.428571429, 0.428571429}