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

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Solution for (5m+2)(2m-7)=0 equation: 


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

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

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

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

Combine like terms: 4m + -35m = -31m
(-14 + -31m + 10m2) = 0

Solving
-14 + -31m + 10m2 = 0

Solving for variable 'm'.

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


Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve:

Simplifying
-2 + -5m = 0

Solving
-2 + -5m = 0

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

Add '2' to each side of the equation.
-2 + 2 + -5m = 0 + 2

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

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

Divide each side by '-5'.
m = -0.4

Simplifying
m = -0.4

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 = {-0.4, 3.5}

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