(m^2-5)(2m^2+3)=

Solution for (m^2-5)(2m^2+3)= equation:

Simplifying
(m2 + -5)(2m2 + 3) = 0

Reorder the terms:
(-5 + m2)(2m2 + 3) = 0

Reorder the terms:
(-5 + m2)(3 + 2m2) = 0

Multiply (-5 + m2) * (3 + 2m2)
(-5(3 + 2m2) + m2(3 + 2m2)) = 0
((3 * -5 + 2m2 * -5) + m2(3 + 2m2)) = 0
((-15 + -10m2) + m2(3 + 2m2)) = 0
(-15 + -10m2 + (3 * m2 + 2m2 * m2)) = 0
(-15 + -10m2 + (3m2 + 2m4)) = 0

Combine like terms: -10m2 + 3m2 = -7m2
(-15 + -7m2 + 2m4) = 0

Solving
-15 + -7m2 + 2m4 = 0

Solving for variable 'm'.

Factor a trinomial.
(-3 + -2m2)(5 + -1m2) = 0

Subproblem 1
Set the factor '(-3 + -2m2)' equal to zero and attempt to solve:

Simplifying
-3 + -2m2 = 0

Solving
-3 + -2m2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + -2m2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -2m2 = 0 + 3
-2m2 = 0 + 3

Combine like terms: 0 + 3 = 3
-2m2 = 3

Divide each side by '-2'.
m2 = -1.5

Simplifying
m2 = -1.5

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 '(5 + -1m2)' equal to zero and attempt to solve:

Simplifying
5 + -1m2 = 0

Solving
5 + -1m2 = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1m2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1m2 = 0 + -5
-1m2 = 0 + -5

Combine like terms: 0 + -5 = -5
-1m2 = -5

Divide each side by '-1'.
m2 = 5

Simplifying
m2 = 5

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