(m+4)(m-1)=(m+1)(m+1)

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Solution for (m+4)(m-1)=(m+1)(m+1) equation: 


Simplifying
(m + 4)(m + -1) = (m + 1)(m + 1)

Reorder the terms:
(4 + m)(m + -1) = (m + 1)(m + 1)

Reorder the terms:
(4 + m)(-1 + m) = (m + 1)(m + 1)

Multiply (4 + m) * (-1 + m)
(4(-1 + m) + m(-1 + m)) = (m + 1)(m + 1)
((-1 * 4 + m * 4) + m(-1 + m)) = (m + 1)(m + 1)
((-4 + 4m) + m(-1 + m)) = (m + 1)(m + 1)
(-4 + 4m + (-1 * m + m * m)) = (m + 1)(m + 1)
(-4 + 4m + (-1m + m2)) = (m + 1)(m + 1)

Combine like terms: 4m + -1m = 3m
(-4 + 3m + m2) = (m + 1)(m + 1)

Reorder the terms:
-4 + 3m + m2 = (1 + m)(m + 1)

Reorder the terms:
-4 + 3m + m2 = (1 + m)(1 + m)

Multiply (1 + m) * (1 + m)
-4 + 3m + m2 = (1(1 + m) + m(1 + m))
-4 + 3m + m2 = ((1 * 1 + m * 1) + m(1 + m))
-4 + 3m + m2 = ((1 + 1m) + m(1 + m))
-4 + 3m + m2 = (1 + 1m + (1 * m + m * m))
-4 + 3m + m2 = (1 + 1m + (1m + m2))

Combine like terms: 1m + 1m = 2m
-4 + 3m + m2 = (1 + 2m + m2)

Add '-1m2' to each side of the equation.
-4 + 3m + m2 + -1m2 = 1 + 2m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-4 + 3m + 0 = 1 + 2m + m2 + -1m2
-4 + 3m = 1 + 2m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-4 + 3m = 1 + 2m + 0
-4 + 3m = 1 + 2m

Solving
-4 + 3m = 1 + 2m

Solving for variable 'm'.

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

Add '-2m' to each side of the equation.
-4 + 3m + -2m = 1 + 2m + -2m

Combine like terms: 3m + -2m = 1m
-4 + 1m = 1 + 2m + -2m

Combine like terms: 2m + -2m = 0
-4 + 1m = 1 + 0
-4 + 1m = 1

Add '4' to each side of the equation.
-4 + 4 + 1m = 1 + 4

Combine like terms: -4 + 4 = 0
0 + 1m = 1 + 4
1m = 1 + 4

Combine like terms: 1 + 4 = 5
1m = 5

Divide each side by '1'.
m = 5

Simplifying
m = 5

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