(m+4)(m+8)=(m-5)(m-5)

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Solution for (m+4)(m+8)=(m-5)(m-5) equation: 


Simplifying
(m + 4)(m + 8) = (m + -5)(m + -5)

Reorder the terms:
(4 + m)(m + 8) = (m + -5)(m + -5)

Reorder the terms:
(4 + m)(8 + m) = (m + -5)(m + -5)

Multiply (4 + m) * (8 + m)
(4(8 + m) + m(8 + m)) = (m + -5)(m + -5)
((8 * 4 + m * 4) + m(8 + m)) = (m + -5)(m + -5)
((32 + 4m) + m(8 + m)) = (m + -5)(m + -5)
(32 + 4m + (8 * m + m * m)) = (m + -5)(m + -5)
(32 + 4m + (8m + m2)) = (m + -5)(m + -5)

Combine like terms: 4m + 8m = 12m
(32 + 12m + m2) = (m + -5)(m + -5)

Reorder the terms:
32 + 12m + m2 = (-5 + m)(m + -5)

Reorder the terms:
32 + 12m + m2 = (-5 + m)(-5 + m)

Multiply (-5 + m) * (-5 + m)
32 + 12m + m2 = (-5(-5 + m) + m(-5 + m))
32 + 12m + m2 = ((-5 * -5 + m * -5) + m(-5 + m))
32 + 12m + m2 = ((25 + -5m) + m(-5 + m))
32 + 12m + m2 = (25 + -5m + (-5 * m + m * m))
32 + 12m + m2 = (25 + -5m + (-5m + m2))

Combine like terms: -5m + -5m = -10m
32 + 12m + m2 = (25 + -10m + m2)

Add '-1m2' to each side of the equation.
32 + 12m + m2 + -1m2 = 25 + -10m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
32 + 12m + 0 = 25 + -10m + m2 + -1m2
32 + 12m = 25 + -10m + m2 + -1m2

Combine like terms: m2 + -1m2 = 0
32 + 12m = 25 + -10m + 0
32 + 12m = 25 + -10m

Solving
32 + 12m = 25 + -10m

Solving for variable 'm'.

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

Add '10m' to each side of the equation.
32 + 12m + 10m = 25 + -10m + 10m

Combine like terms: 12m + 10m = 22m
32 + 22m = 25 + -10m + 10m

Combine like terms: -10m + 10m = 0
32 + 22m = 25 + 0
32 + 22m = 25

Add '-32' to each side of the equation.
32 + -32 + 22m = 25 + -32

Combine like terms: 32 + -32 = 0
0 + 22m = 25 + -32
22m = 25 + -32

Combine like terms: 25 + -32 = -7
22m = -7

Divide each side by '22'.
m = -0.3181818182

Simplifying
m = -0.3181818182

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