7m^2+45m+22=4

Solution for 7m^2+45m+22=4 equation:

Simplifying
7m2 + 45m + 22 = 4

Reorder the terms:
22 + 45m + 7m2 = 4

Solving
22 + 45m + 7m2 = 4

Solving for variable 'm'.

Reorder the terms:
22 + -4 + 45m + 7m2 = 4 + -4

Combine like terms: 22 + -4 = 18
18 + 45m + 7m2 = 4 + -4

Combine like terms: 4 + -4 = 0
18 + 45m + 7m2 = 0

Factor a trinomial.
(6 + m)(3 + 7m) = 0

Subproblem 1
Set the factor '(6 + m)' equal to zero and attempt to solve:

Simplifying
6 + m = 0

Solving
6 + m = 0

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

Add '-6' to each side of the equation.
6 + -6 + m = 0 + -6

Combine like terms: 6 + -6 = 0
0 + m = 0 + -6
m = 0 + -6

Combine like terms: 0 + -6 = -6
m = -6

Simplifying
m = -6
Subproblem 2
Set the factor '(3 + 7m)' equal to zero and attempt to solve:

Simplifying
3 + 7m = 0

Solving
3 + 7m = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7m = 0 + -3
7m = 0 + -3

Combine like terms: 0 + -3 = -3
7m = -3

Divide each side by '7'.
m = -0.4285714286

Simplifying
m = -0.4285714286
Solution
m = {-6, -0.4285714286}