(5m^2)(-3m^2n+8)=

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Solution for (5m^2)(-3m^2n+8)= equation: 


Simplifying
(5m2)(-3m2n + 8) = 0

Remove parenthesis around (5m2)
5m2(-3m2n + 8) = 0

Reorder the terms:
5m2(8 + -3m2n) = 0
(8 * 5m2 + -3m2n * 5m2) = 0
(40m2 + -15m4n) = 0

Solving
40m2 + -15m4n = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '5m2'.
5m2(8 + -3m2n) = 0

Ignore the factor 5.

Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve:

Simplifying
m2 = 0

Solving
m2 = 0

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

Simplifying
m2 = 0

Take the square root of each side:
m = {0}

Subproblem 2
Set the factor '(8 + -3m2n)' equal to zero and attempt to solve:

Simplifying
8 + -3m2n = 0

Solving
8 + -3m2n = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3m2n = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3m2n = 0 + -8
-3m2n = 0 + -8

Combine like terms: 0 + -8 = -8
-3m2n = -8

Divide each side by '-3n'.
m2 = 2.666666667n-1

Simplifying
m2 = 2.666666667n-1

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
m = {0}

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