100m^2=(2m-12)(w+4)

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Solution for 100m^2=(2m-12)(w+4) equation: 


Simplifying
100m2 = (2m + -12)(w + 4)

Reorder the terms:
100m2 = (-12 + 2m)(w + 4)

Reorder the terms:
100m2 = (-12 + 2m)(4 + w)

Multiply (-12 + 2m) * (4 + w)
100m2 = (-12(4 + w) + 2m * (4 + w))
100m2 = ((4 * -12 + w * -12) + 2m * (4 + w))
100m2 = ((-48 + -12w) + 2m * (4 + w))
100m2 = (-48 + -12w + (4 * 2m + w * 2m))
100m2 = (-48 + -12w + (8m + 2mw))

Reorder the terms:
100m2 = (-48 + 8m + 2mw + -12w)
100m2 = (-48 + 8m + 2mw + -12w)

Solving
100m2 = -48 + 8m + 2mw + -12w

Solving for variable 'm'.

Reorder the terms:
48 + -8m + -2mw + 100m2 + 12w = -48 + 8m + 2mw + -12w + 48 + -8m + -2mw + 12w

Reorder the terms:
48 + -8m + -2mw + 100m2 + 12w = -48 + 48 + 8m + -8m + 2mw + -2mw + -12w + 12w

Combine like terms: -48 + 48 = 0
48 + -8m + -2mw + 100m2 + 12w = 0 + 8m + -8m + 2mw + -2mw + -12w + 12w
48 + -8m + -2mw + 100m2 + 12w = 8m + -8m + 2mw + -2mw + -12w + 12w

Combine like terms: 8m + -8m = 0
48 + -8m + -2mw + 100m2 + 12w = 0 + 2mw + -2mw + -12w + 12w
48 + -8m + -2mw + 100m2 + 12w = 2mw + -2mw + -12w + 12w

Combine like terms: 2mw + -2mw = 0
48 + -8m + -2mw + 100m2 + 12w = 0 + -12w + 12w
48 + -8m + -2mw + 100m2 + 12w = -12w + 12w

Combine like terms: -12w + 12w = 0
48 + -8m + -2mw + 100m2 + 12w = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(24 + -4m + -1mw + 50m2 + 6w) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(24 + -4m + -1mw + 50m2 + 6w)' equal to zero and attempt to solve:

Simplifying
24 + -4m + -1mw + 50m2 + 6w = 0

Solving
24 + -4m + -1mw + 50m2 + 6w = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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