4m^2+7m+3=0

Solution for 4m^2+7m+3=0 equation:

Simplifying
4m2 + 7m + 3 = 0

Reorder the terms:
3 + 7m + 4m2 = 0

Solving
3 + 7m + 4m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + m)(3 + 4m) = 0

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

Simplifying
1 + m = 0

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

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

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

Simplifying
m = -1
Subproblem 2
Set the factor '(3 + 4m)' equal to zero and attempt to solve:

Simplifying
3 + 4m = 0

Solving
3 + 4m = 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 + 4m = 0 + -3

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

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

Divide each side by '4'.
m = -0.75

Simplifying
m = -0.75
Solution
m = {-1, -0.75}