-4=4m^2-10m+2

Solution for -4=4m^2-10m+2 equation:

Simplifying
-4 = 4m2 + -10m + 2

Reorder the terms:
-4 = 2 + -10m + 4m2

Solving
-4 = 2 + -10m + 4m2

Solving for variable 'm'.

Combine like terms: -4 + -2 = -6
-6 + 10m + -4m2 = 2 + -10m + 4m2 + -2 + 10m + -4m2

Reorder the terms:
-6 + 10m + -4m2 = 2 + -2 + -10m + 10m + 4m2 + -4m2

Combine like terms: 2 + -2 = 0
-6 + 10m + -4m2 = 0 + -10m + 10m + 4m2 + -4m2
-6 + 10m + -4m2 = -10m + 10m + 4m2 + -4m2

Combine like terms: -10m + 10m = 0
-6 + 10m + -4m2 = 0 + 4m2 + -4m2
-6 + 10m + -4m2 = 4m2 + -4m2

Combine like terms: 4m2 + -4m2 = 0
-6 + 10m + -4m2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 5m + -2m2) = 0

Factor a trinomial.
2((-3 + 2m)(1 + -1m)) = 0

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

Simplifying
-3 + 2m = 0

Solving
-3 + 2m = 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 + 2m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 2m = 0 + 3
2m = 0 + 3

Combine like terms: 0 + 3 = 3
2m = 3

Divide each side by '2'.
m = 1.5

Simplifying
m = 1.5
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 = {1.5, 1}