7m^2=9(4+m)

Solution for 7m^2=9(4+m) equation:

Simplifying
7m2 = 9(4 + m)
7m2 = (4 * 9 + m * 9)
7m2 = (36 + 9m)

Solving
7m2 = 36 + 9m

Solving for variable 'm'.

Reorder the terms:
-36 + -9m + 7m2 = 36 + 9m + -36 + -9m

Reorder the terms:
-36 + -9m + 7m2 = 36 + -36 + 9m + -9m

Combine like terms: 36 + -36 = 0
-36 + -9m + 7m2 = 0 + 9m + -9m
-36 + -9m + 7m2 = 9m + -9m

Combine like terms: 9m + -9m = 0
-36 + -9m + 7m2 = 0

Factor a trinomial.
(-12 + -7m)(3 + -1m) = 0

Subproblem 1
Set the factor '(-12 + -7m)' equal to zero and attempt to solve:

Simplifying
-12 + -7m = 0

Solving
-12 + -7m = 0

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

Add '12' to each side of the equation.
-12 + 12 + -7m = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -7m = 0 + 12
-7m = 0 + 12

Combine like terms: 0 + 12 = 12
-7m = 12

Divide each side by '-7'.
m = -1.714285714

Simplifying
m = -1.714285714
Subproblem 2
Set the factor '(3 + -1m)' equal to zero and attempt to solve:

Simplifying
3 + -1m = 0

Solving
3 + -1m = 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 + -1m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1m = 0 + -3
-1m = 0 + -3

Combine like terms: 0 + -3 = -3
-1m = -3

Divide each side by '-1'.
m = 3

Simplifying
m = 3
Solution
m = {-1.714285714, 3}