(a^2-5)and(3a^2-4)=

Solution for (a^2-5)and(3a^2-4)= equation:

Simplifying
(a2 + -5) * and(3a2 + -4) = 0

Reorder the terms:
(-5 + a2) * and(3a2 + -4) = 0

Reorder the terms:
(-5 + a2) * adn(-4 + 3a2) = 0

Reorder the terms for easier multiplication:
adn(-5 + a2)(-4 + 3a2) = 0

Multiply (-5 + a2) * (-4 + 3a2)
adn(-5(-4 + 3a2) + a2(-4 + 3a2)) = 0
adn((-4 * -5 + 3a2 * -5) + a2(-4 + 3a2)) = 0
adn((20 + -15a2) + a2(-4 + 3a2)) = 0
adn(20 + -15a2 + (-4 * a2 + 3a2 * a2)) = 0
adn(20 + -15a2 + (-4a2 + 3a4)) = 0

Combine like terms: -15a2 + -4a2 = -19a2
adn(20 + -19a2 + 3a4) = 0
(20 * adn + -19a2 * adn + 3a4 * adn) = 0
(20adn + -19a3dn + 3a5dn) = 0

Solving
20adn + -19a3dn + 3a5dn = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'adn'.
adn(20 + -19a2 + 3a4) = 0

Factor a trinomial.
adn((4 + -3a2)(5 + -1a2)) = 0

Subproblem 1
Set the factor 'adn' equal to zero and attempt to solve:

Simplifying
adn = 0

Solving
adn = 0

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

Simplifying
adn = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(4 + -3a2)' equal to zero and attempt to solve:

Simplifying
4 + -3a2 = 0

Solving
4 + -3a2 = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3a2 = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3a2 = 0 + -4
-3a2 = 0 + -4

Combine like terms: 0 + -4 = -4
-3a2 = -4

Divide each side by '-3'.
a2 = 1.333333333

Simplifying
a2 = 1.333333333

Take the square root of each side:
a = {-1.154700538, 1.154700538}
Subproblem 3
Set the factor '(5 + -1a2)' equal to zero and attempt to solve:

Simplifying
5 + -1a2 = 0

Solving
5 + -1a2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1a2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1a2 = 0 + -5
-1a2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1a2 = -5

Divide each side by '-1'.
a2 = 5

Simplifying
a2 = 5

Take the square root of each side:
a = {-2.236067978, 2.236067978}
Solution
a = {-1.154700538, 1.154700538, -2.236067978, 2.236067978}