(2m+5)(3m-7)=

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Solution for (2m+5)(3m-7)= equation: 


Simplifying
(2m + 5)(3m + -7) = 0

Reorder the terms:
(5 + 2m)(3m + -7) = 0

Reorder the terms:
(5 + 2m)(-7 + 3m) = 0

Multiply (5 + 2m) * (-7 + 3m)
(5(-7 + 3m) + 2m * (-7 + 3m)) = 0
((-7 * 5 + 3m * 5) + 2m * (-7 + 3m)) = 0
((-35 + 15m) + 2m * (-7 + 3m)) = 0
(-35 + 15m + (-7 * 2m + 3m * 2m)) = 0
(-35 + 15m + (-14m + 6m2)) = 0

Combine like terms: 15m + -14m = 1m
(-35 + 1m + 6m2) = 0

Solving
-35 + 1m + 6m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -2m)(7 + -3m) = 0


Subproblem 1
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 2
Set the factor '(7 + -3m)' equal to zero and attempt to solve:

Simplifying
7 + -3m = 0

Solving
7 + -3m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3m = 0 + -7
-3m = 0 + -7

Combine like terms: 0 + -7 = -7
-3m = -7

Divide each side by '-3'.
m = 2.333333333

Simplifying
m = 2.333333333
Solution
m = {-2.5, 2.333333333}

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