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

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


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

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

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

Multiply (5 + 2m) * (-7 + 2m)
(5(-7 + 2m) + 2m * (-7 + 2m)) = 0
((-7 * 5 + 2m * 5) + 2m * (-7 + 2m)) = 0
((-35 + 10m) + 2m * (-7 + 2m)) = 0
(-35 + 10m + (-7 * 2m + 2m * 2m)) = 0
(-35 + 10m + (-14m + 4m2)) = 0

Combine like terms: 10m + -14m = -4m
(-35 + -4m + 4m2) = 0

Solving
-35 + -4m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-5 + -2m)(7 + -2m) = 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 + -2m)' equal to zero and attempt to solve:

Simplifying
7 + -2m = 0

Solving
7 + -2m = 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 + -2m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2m = 0 + -7
-2m = 0 + -7

Combine like terms: 0 + -7 = -7
-2m = -7

Divide each side by '-2'.
m = 3.5

Simplifying
m = 3.5
Solution
m = {-2.5, 3.5}

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