0=24m^2+20m-16

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Solution for 0=24m^2+20m-16 equation: 


Simplifying
0 = 24m2 + 20m + -16

Reorder the terms:
0 = -16 + 20m + 24m2

Solving
0 = -16 + 20m + 24m2

Solving for variable 'm'.

Combine like terms: 0 + 16 = 16
16 + -20m + -24m2 = -16 + 20m + 24m2 + 16 + -20m + -24m2

Reorder the terms:
16 + -20m + -24m2 = -16 + 16 + 20m + -20m + 24m2 + -24m2

Combine like terms: -16 + 16 = 0
16 + -20m + -24m2 = 0 + 20m + -20m + 24m2 + -24m2
16 + -20m + -24m2 = 20m + -20m + 24m2 + -24m2

Combine like terms: 20m + -20m = 0
16 + -20m + -24m2 = 0 + 24m2 + -24m2
16 + -20m + -24m2 = 24m2 + -24m2

Combine like terms: 24m2 + -24m2 = 0
16 + -20m + -24m2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + -5m + -6m2) = 0

Factor a trinomial.
4((1 + -2m)(4 + 3m)) = 0

Ignore the factor 4.

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

Simplifying
1 + -2m = 0

Solving
1 + -2m = 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 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5

Subproblem 2
Set the factor '(4 + 3m)' equal to zero and attempt to solve:

Simplifying
4 + 3m = 0

Solving
4 + 3m = 0

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

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

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

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

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

Simplifying
m = -1.333333333
Solution
m = {0.5, -1.333333333}

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