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

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


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

Reorder the terms:
2m2(-5 + 3m + 2m2) = 0
(-5 * 2m2 + 3m * 2m2 + 2m2 * 2m2) = 0
(-10m2 + 6m3 + 4m4) = 0

Solving
-10m2 + 6m3 + 4m4 = 0

Solving for variable 'm'.

Factor out the Greatest Common Factor (GCF), '2m2'.
2m2(-5 + 3m + 2m2) = 0

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

Ignore the factor 2.

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 '(-5 + -2m)' equal to zero and attempt to solve:

Simplifying
-5 + -2m = 0

Solving
-5 + -2m = 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 + -2m = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -2m = 0 + 5
-2m = 0 + 5

Combine like terms: 0 + 5 = 5
-2m = 5

Divide each side by '-2'.
m = -2.5

Simplifying
m = -2.5

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

Simplifying
1 + -1m = 0

Solving
1 + -1m = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -1m = 0 + -1
-1m = 0 + -1

Combine like terms: 0 + -1 = -1
-1m = -1

Divide each side by '-1'.
m = 1

Simplifying
m = 1
Solution
m = {0, -2.5, 1}

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