(m+4)(4m-2)=5(m+3)-10

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Solution for (m+4)(4m-2)=5(m+3)-10 equation: 


Simplifying
(m + 4)(4m + -2) = 5(m + 3) + -10

Reorder the terms:
(4 + m)(4m + -2) = 5(m + 3) + -10

Reorder the terms:
(4 + m)(-2 + 4m) = 5(m + 3) + -10

Multiply (4 + m) * (-2 + 4m)
(4(-2 + 4m) + m(-2 + 4m)) = 5(m + 3) + -10
((-2 * 4 + 4m * 4) + m(-2 + 4m)) = 5(m + 3) + -10
((-8 + 16m) + m(-2 + 4m)) = 5(m + 3) + -10
(-8 + 16m + (-2 * m + 4m * m)) = 5(m + 3) + -10
(-8 + 16m + (-2m + 4m2)) = 5(m + 3) + -10

Combine like terms: 16m + -2m = 14m
(-8 + 14m + 4m2) = 5(m + 3) + -10

Reorder the terms:
-8 + 14m + 4m2 = 5(3 + m) + -10
-8 + 14m + 4m2 = (3 * 5 + m * 5) + -10
-8 + 14m + 4m2 = (15 + 5m) + -10

Reorder the terms:
-8 + 14m + 4m2 = 15 + -10 + 5m

Combine like terms: 15 + -10 = 5
-8 + 14m + 4m2 = 5 + 5m

Solving
-8 + 14m + 4m2 = 5 + 5m

Solving for variable 'm'.

Reorder the terms:
-8 + -5 + 14m + -5m + 4m2 = 5 + 5m + -5 + -5m

Combine like terms: -8 + -5 = -13
-13 + 14m + -5m + 4m2 = 5 + 5m + -5 + -5m

Combine like terms: 14m + -5m = 9m
-13 + 9m + 4m2 = 5 + 5m + -5 + -5m

Reorder the terms:
-13 + 9m + 4m2 = 5 + -5 + 5m + -5m

Combine like terms: 5 + -5 = 0
-13 + 9m + 4m2 = 0 + 5m + -5m
-13 + 9m + 4m2 = 5m + -5m

Combine like terms: 5m + -5m = 0
-13 + 9m + 4m2 = 0

Factor a trinomial.
(-13 + -4m)(1 + -1m) = 0


Subproblem 1
Set the factor '(-13 + -4m)' equal to zero and attempt to solve:

Simplifying
-13 + -4m = 0

Solving
-13 + -4m = 0

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

Add '13' to each side of the equation.
-13 + 13 + -4m = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -4m = 0 + 13
-4m = 0 + 13

Combine like terms: 0 + 13 = 13
-4m = 13

Divide each side by '-4'.
m = -3.25

Simplifying
m = -3.25

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 = {-3.25, 1}

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