(3a+10)(3a-10)=

Solution for (3a+10)(3a-10)= equation:

Simplifying
(3a + 10)(3a + -10) = 0

Reorder the terms:
(10 + 3a)(3a + -10) = 0

Reorder the terms:
(10 + 3a)(-10 + 3a) = 0

Multiply (10 + 3a) * (-10 + 3a)
(10(-10 + 3a) + 3a * (-10 + 3a)) = 0
((-10 * 10 + 3a * 10) + 3a * (-10 + 3a)) = 0
((-100 + 30a) + 3a * (-10 + 3a)) = 0
(-100 + 30a + (-10 * 3a + 3a * 3a)) = 0
(-100 + 30a + (-30a + 9a2)) = 0

Combine like terms: 30a + -30a = 0
(-100 + 0 + 9a2) = 0
(-100 + 9a2) = 0

Solving
-100 + 9a2 = 0

Solving for variable 'a'.

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

Add '100' to each side of the equation.
-100 + 100 + 9a2 = 0 + 100

Combine like terms: -100 + 100 = 0
0 + 9a2 = 0 + 100
9a2 = 0 + 100

Combine like terms: 0 + 100 = 100
9a2 = 100

Divide each side by '9'.
a2 = 11.11111111

Simplifying
a2 = 11.11111111

Take the square root of each side:
a = {-3.333333333, 3.333333333}