7m^2=10m-3

Solution for 7m^2=10m-3 equation:

Simplifying
7m2 = 10m + -3

Reorder the terms:
7m2 = -3 + 10m

Solving
7m2 = -3 + 10m

Solving for variable 'm'.

Reorder the terms:
3 + -10m + 7m2 = -3 + 10m + 3 + -10m

Reorder the terms:
3 + -10m + 7m2 = -3 + 3 + 10m + -10m

Combine like terms: -3 + 3 = 0
3 + -10m + 7m2 = 0 + 10m + -10m
3 + -10m + 7m2 = 10m + -10m

Combine like terms: 10m + -10m = 0
3 + -10m + 7m2 = 0

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

Subproblem 1
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
Subproblem 2
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
Solution
m = {0.4285714286, 1}