7m^2=3-4m

Solution for 7m^2=3-4m equation:

Simplifying
7m2 = 3 + -4m

Solving
7m2 = 3 + -4m

Solving for variable 'm'.

Reorder the terms:
-3 + 4m + 7m2 = 3 + -4m + -3 + 4m

Reorder the terms:
-3 + 4m + 7m2 = 3 + -3 + -4m + 4m

Combine like terms: 3 + -3 = 0
-3 + 4m + 7m2 = 0 + -4m + 4m
-3 + 4m + 7m2 = -4m + 4m

Combine like terms: -4m + 4m = 0
-3 + 4m + 7m2 = 0

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

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

Simplifying
-1 + -1m = 0

Solving
-1 + -1m = 0

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

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

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

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

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

Simplifying
m = -1
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 = {-1, 0.4285714286}