(3a^1-7)(3a^1+7)=

Solution for (3a^1-7)(3a^1+7)= equation:

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

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

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

Multiply (-7 + 3a) * (7 + 3a)
(-7(7 + 3a) + 3a * (7 + 3a)) = 0
((7 * -7 + 3a * -7) + 3a * (7 + 3a)) = 0
((-49 + -21a) + 3a * (7 + 3a)) = 0
(-49 + -21a + (7 * 3a + 3a * 3a)) = 0
(-49 + -21a + (21a + 9a2)) = 0

Combine like terms: -21a + 21a = 0
(-49 + 0 + 9a2) = 0
(-49 + 9a2) = 0

Solving
-49 + 9a2 = 0

Solving for variable 'a'.

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

Add '49' to each side of the equation.
-49 + 49 + 9a2 = 0 + 49

Combine like terms: -49 + 49 = 0
0 + 9a2 = 0 + 49
9a2 = 0 + 49

Combine like terms: 0 + 49 = 49
9a2 = 49

Divide each side by '9'.
a2 = 5.444444444

Simplifying
a2 = 5.444444444

Take the square root of each side:
a = {-2.333333333, 2.333333333}