8m^2-42m+49=0

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Solution for 8m^2-42m+49=0 equation: 


Simplifying
8m2 + -42m + 49 = 0

Reorder the terms:
49 + -42m + 8m2 = 0

Solving
49 + -42m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(7 + -4m)(7 + -2m) = 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 '(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 = {1.75, 3.5}

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