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

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

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

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

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

Multiply (-5 + 7a) * (5 + 7a)
(-5(5 + 7a) + 7a * (5 + 7a)) = 0
((5 * -5 + 7a * -5) + 7a * (5 + 7a)) = 0
((-25 + -35a) + 7a * (5 + 7a)) = 0
(-25 + -35a + (5 * 7a + 7a * 7a)) = 0
(-25 + -35a + (35a + 49a2)) = 0

Combine like terms: -35a + 35a = 0
(-25 + 0 + 49a2) = 0
(-25 + 49a2) = 0

Solving
-25 + 49a2 = 0

Solving for variable 'a'.

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

Add '25' to each side of the equation.
-25 + 25 + 49a2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 49a2 = 0 + 25
49a2 = 0 + 25

Combine like terms: 0 + 25 = 25
49a2 = 25

Divide each side by '49'.
a2 = 0.5102040816

Simplifying
a2 = 0.5102040816

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