4m^2+6m-14=3m^2+m

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Solution for 4m^2+6m-14=3m^2+m equation: 


Simplifying
4m2 + 6m + -14 = 3m2 + m

Reorder the terms:
-14 + 6m + 4m2 = 3m2 + m

Reorder the terms:
-14 + 6m + 4m2 = m + 3m2

Solving
-14 + 6m + 4m2 = m + 3m2

Solving for variable 'm'.

Reorder the terms:
-14 + 6m + -1m + 4m2 + -3m2 = m + 3m2 + -1m + -3m2

Combine like terms: 6m + -1m = 5m
-14 + 5m + 4m2 + -3m2 = m + 3m2 + -1m + -3m2

Combine like terms: 4m2 + -3m2 = 1m2
-14 + 5m + 1m2 = m + 3m2 + -1m + -3m2

Reorder the terms:
-14 + 5m + 1m2 = m + -1m + 3m2 + -3m2

Combine like terms: m + -1m = 0
-14 + 5m + 1m2 = 0 + 3m2 + -3m2
-14 + 5m + 1m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
-14 + 5m + 1m2 = 0

Factor a trinomial.
(-7 + -1m)(2 + -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 '(2 + -1m)' equal to zero and attempt to solve:

Simplifying
2 + -1m = 0

Solving
2 + -1m = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1m = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1m = 0 + -2
-1m = 0 + -2

Combine like terms: 0 + -2 = -2
-1m = -2

Divide each side by '-1'.
m = 2

Simplifying
m = 2
Solution
m = {-7, 2}

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