4m^2-28-9m=0

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Solution for 4m^2-28-9m=0 equation: 


Simplifying
4m2 + -28 + -9m = 0

Reorder the terms:
-28 + -9m + 4m2 = 0

Solving
-28 + -9m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(-7 + -4m)(4 + -1m) = 0


Subproblem 1
Set the factor '(-7 + -4m)' equal to zero and attempt to solve:

Simplifying
-7 + -4m = 0

Solving
-7 + -4m = 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 + -4m = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -4m = 0 + 7
-4m = 0 + 7

Combine like terms: 0 + 7 = 7
-4m = 7

Divide each side by '-4'.
m = -1.75

Simplifying
m = -1.75

Subproblem 2
Set the factor '(4 + -1m)' equal to zero and attempt to solve:

Simplifying
4 + -1m = 0

Solving
4 + -1m = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1m = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1m = 0 + -4
-1m = 0 + -4

Combine like terms: 0 + -4 = -4
-1m = -4

Divide each side by '-1'.
m = 4

Simplifying
m = 4
Solution
m = {-1.75, 4}

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