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

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


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

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

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

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

Combine like terms: -7m + -10m = -17m
(14 + -17m + 5m2) = 0

Solving
14 + -17m + 5m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -5m)(2 + -1m) = 0


Subproblem 1
Set the factor '(7 + -5m)' equal to zero and attempt to solve:

Simplifying
7 + -5m = 0

Solving
7 + -5m = 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 + -5m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5m = 0 + -7
-5m = 0 + -7

Combine like terms: 0 + -7 = -7
-5m = -7

Divide each side by '-5'.
m = 1.4

Simplifying
m = 1.4

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

Simplifying
2 + -1m = 0

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

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

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

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {1.4, 2}

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