0=15m^2-10m-25

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Solution for 0=15m^2-10m-25 equation: 


Simplifying
0 = 15m2 + -10m + -25

Reorder the terms:
0 = -25 + -10m + 15m2

Solving
0 = -25 + -10m + 15m2

Solving for variable 'm'.

Combine like terms: 0 + 25 = 25
25 + 10m + -15m2 = -25 + -10m + 15m2 + 25 + 10m + -15m2

Reorder the terms:
25 + 10m + -15m2 = -25 + 25 + -10m + 10m + 15m2 + -15m2

Combine like terms: -25 + 25 = 0
25 + 10m + -15m2 = 0 + -10m + 10m + 15m2 + -15m2
25 + 10m + -15m2 = -10m + 10m + 15m2 + -15m2

Combine like terms: -10m + 10m = 0
25 + 10m + -15m2 = 0 + 15m2 + -15m2
25 + 10m + -15m2 = 15m2 + -15m2

Combine like terms: 15m2 + -15m2 = 0
25 + 10m + -15m2 = 0

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

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

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -3m)' equal to zero and attempt to solve:

Simplifying
5 + -3m = 0

Solving
5 + -3m = 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 + -3m = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3m = 0 + -5
-3m = 0 + -5

Combine like terms: 0 + -5 = -5
-3m = -5

Divide each side by '-3'.
m = 1.666666667

Simplifying
m = 1.666666667

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

Simplifying
1 + m = 0

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

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

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

Simplifying
m = -1
Solution
m = {1.666666667, -1}

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