(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}