3m^2+24m+36=3(m+6)(m+2)

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Solution for 3m^2+24m+36=3(m+6)(m+2) equation: 


Simplifying
3m2 + 24m + 36 = 3(m + 6)(m + 2)

Reorder the terms:
36 + 24m + 3m2 = 3(m + 6)(m + 2)

Reorder the terms:
36 + 24m + 3m2 = 3(6 + m)(m + 2)

Reorder the terms:
36 + 24m + 3m2 = 3(6 + m)(2 + m)

Multiply (6 + m) * (2 + m)
36 + 24m + 3m2 = 3(6(2 + m) + m(2 + m))
36 + 24m + 3m2 = 3((2 * 6 + m * 6) + m(2 + m))
36 + 24m + 3m2 = 3((12 + 6m) + m(2 + m))
36 + 24m + 3m2 = 3(12 + 6m + (2 * m + m * m))
36 + 24m + 3m2 = 3(12 + 6m + (2m + m2))

Combine like terms: 6m + 2m = 8m
36 + 24m + 3m2 = 3(12 + 8m + m2)
36 + 24m + 3m2 = (12 * 3 + 8m * 3 + m2 * 3)
36 + 24m + 3m2 = (36 + 24m + 3m2)

Add '-36' to each side of the equation.
36 + 24m + -36 + 3m2 = 36 + 24m + -36 + 3m2

Reorder the terms:
36 + -36 + 24m + 3m2 = 36 + 24m + -36 + 3m2

Combine like terms: 36 + -36 = 0
0 + 24m + 3m2 = 36 + 24m + -36 + 3m2
24m + 3m2 = 36 + 24m + -36 + 3m2

Reorder the terms:
24m + 3m2 = 36 + -36 + 24m + 3m2

Combine like terms: 36 + -36 = 0
24m + 3m2 = 0 + 24m + 3m2
24m + 3m2 = 24m + 3m2

Add '-24m' to each side of the equation.
24m + -24m + 3m2 = 24m + -24m + 3m2

Combine like terms: 24m + -24m = 0
0 + 3m2 = 24m + -24m + 3m2
3m2 = 24m + -24m + 3m2

Combine like terms: 24m + -24m = 0
3m2 = 0 + 3m2
3m2 = 3m2

Add '-3m2' to each side of the equation.
3m2 + -3m2 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
0 = 3m2 + -3m2

Combine like terms: 3m2 + -3m2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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