(7x+5)(7x-5)=0

Solution for (7x+5)(7x-5)=0 equation:

Simplifying
(7x + 5)(7x + -5) = 0

Reorder the terms:
(5 + 7x)(7x + -5) = 0

Reorder the terms:
(5 + 7x)(-5 + 7x) = 0

Multiply (5 + 7x) * (-5 + 7x)
(5(-5 + 7x) + 7x * (-5 + 7x)) = 0
((-5 * 5 + 7x * 5) + 7x * (-5 + 7x)) = 0
((-25 + 35x) + 7x * (-5 + 7x)) = 0
(-25 + 35x + (-5 * 7x + 7x * 7x)) = 0
(-25 + 35x + (-35x + 49x2)) = 0

Combine like terms: 35x + -35x = 0
(-25 + 0 + 49x2) = 0
(-25 + 49x2) = 0

Solving
-25 + 49x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 49x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 49x2 = 0 + 25
49x2 = 0 + 25

Combine like terms: 0 + 25 = 25
49x2 = 25

Divide each side by '49'.
x2 = 0.5102040816

Simplifying
x2 = 0.5102040816

Take the square root of each side:
x = {-0.714285714, 0.714285714}