(m+4)(5m+2)-10=25m

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Solution for (m+4)(5m+2)-10=25m equation: 


Simplifying
(m + 4)(5m + 2) + -10 = 25m

Reorder the terms:
(4 + m)(5m + 2) + -10 = 25m

Reorder the terms:
(4 + m)(2 + 5m) + -10 = 25m

Multiply (4 + m) * (2 + 5m)
(4(2 + 5m) + m(2 + 5m)) + -10 = 25m
((2 * 4 + 5m * 4) + m(2 + 5m)) + -10 = 25m
((8 + 20m) + m(2 + 5m)) + -10 = 25m
(8 + 20m + (2 * m + 5m * m)) + -10 = 25m
(8 + 20m + (2m + 5m2)) + -10 = 25m

Combine like terms: 20m + 2m = 22m
(8 + 22m + 5m2) + -10 = 25m

Reorder the terms:
8 + -10 + 22m + 5m2 = 25m

Combine like terms: 8 + -10 = -2
-2 + 22m + 5m2 = 25m

Solving
-2 + 22m + 5m2 = 25m

Solving for variable 'm'.

Reorder the terms:
-2 + 22m + -25m + 5m2 = 25m + -25m

Combine like terms: 22m + -25m = -3m
-2 + -3m + 5m2 = 25m + -25m

Combine like terms: 25m + -25m = 0
-2 + -3m + 5m2 = 0

Factor a trinomial.
(-2 + -5m)(1 + -1m) = 0


Subproblem 1
Set the factor '(-2 + -5m)' equal to zero and attempt to solve:

Simplifying
-2 + -5m = 0

Solving
-2 + -5m = 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 + -5m = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -5m = 0 + 2
-5m = 0 + 2

Combine like terms: 0 + 2 = 2
-5m = 2

Divide each side by '-5'.
m = -0.4

Simplifying
m = -0.4

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 = {-0.4, 1}

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