7m^2+25=6m^2+4+10m

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Solution for 7m^2+25=6m^2+4+10m equation: 


Simplifying
7m2 + 25 = 6m2 + 4 + 10m

Reorder the terms:
25 + 7m2 = 6m2 + 4 + 10m

Reorder the terms:
25 + 7m2 = 4 + 10m + 6m2

Solving
25 + 7m2 = 4 + 10m + 6m2

Solving for variable 'm'.

Reorder the terms:
25 + -4 + -10m + 7m2 + -6m2 = 4 + 10m + 6m2 + -4 + -10m + -6m2

Combine like terms: 25 + -4 = 21
21 + -10m + 7m2 + -6m2 = 4 + 10m + 6m2 + -4 + -10m + -6m2

Combine like terms: 7m2 + -6m2 = 1m2
21 + -10m + 1m2 = 4 + 10m + 6m2 + -4 + -10m + -6m2

Reorder the terms:
21 + -10m + 1m2 = 4 + -4 + 10m + -10m + 6m2 + -6m2

Combine like terms: 4 + -4 = 0
21 + -10m + 1m2 = 0 + 10m + -10m + 6m2 + -6m2
21 + -10m + 1m2 = 10m + -10m + 6m2 + -6m2

Combine like terms: 10m + -10m = 0
21 + -10m + 1m2 = 0 + 6m2 + -6m2
21 + -10m + 1m2 = 6m2 + -6m2

Combine like terms: 6m2 + -6m2 = 0
21 + -10m + 1m2 = 0

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


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -1m)' equal to zero and attempt to solve:

Simplifying
7 + -1m = 0

Solving
7 + -1m = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1m = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1m = 0 + -7
-1m = 0 + -7

Combine like terms: 0 + -7 = -7
-1m = -7

Divide each side by '-1'.
m = 7

Simplifying
m = 7
Solution
m = {3, 7}

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