11m^2-63=3m+10m^2+7

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Solution for 11m^2-63=3m+10m^2+7 equation: 


Simplifying
11m2 + -63 = 3m + 10m2 + 7

Reorder the terms:
-63 + 11m2 = 3m + 10m2 + 7

Reorder the terms:
-63 + 11m2 = 7 + 3m + 10m2

Solving
-63 + 11m2 = 7 + 3m + 10m2

Solving for variable 'm'.

Reorder the terms:
-63 + -7 + -3m + 11m2 + -10m2 = 7 + 3m + 10m2 + -7 + -3m + -10m2

Combine like terms: -63 + -7 = -70
-70 + -3m + 11m2 + -10m2 = 7 + 3m + 10m2 + -7 + -3m + -10m2

Combine like terms: 11m2 + -10m2 = 1m2
-70 + -3m + 1m2 = 7 + 3m + 10m2 + -7 + -3m + -10m2

Reorder the terms:
-70 + -3m + 1m2 = 7 + -7 + 3m + -3m + 10m2 + -10m2

Combine like terms: 7 + -7 = 0
-70 + -3m + 1m2 = 0 + 3m + -3m + 10m2 + -10m2
-70 + -3m + 1m2 = 3m + -3m + 10m2 + -10m2

Combine like terms: 3m + -3m = 0
-70 + -3m + 1m2 = 0 + 10m2 + -10m2
-70 + -3m + 1m2 = 10m2 + -10m2

Combine like terms: 10m2 + -10m2 = 0
-70 + -3m + 1m2 = 0

Factor a trinomial.
(-7 + -1m)(10 + -1m) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(10 + -1m)' equal to zero and attempt to solve:

Simplifying
10 + -1m = 0

Solving
10 + -1m = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1m = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1m = 0 + -10
-1m = 0 + -10

Combine like terms: 0 + -10 = -10
-1m = -10

Divide each side by '-1'.
m = 10

Simplifying
m = 10
Solution
m = {-7, 10}

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