7m=324+36m+m^2

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Solution for 7m=324+36m+m^2 equation: 


Simplifying
7m = 324 + 36m + m2

Solving
7m = 324 + 36m + m2

Solving for variable 'm'.

Reorder the terms:
-324 + 7m + -36m + -1m2 = 324 + 36m + m2 + -324 + -36m + -1m2

Combine like terms: 7m + -36m = -29m
-324 + -29m + -1m2 = 324 + 36m + m2 + -324 + -36m + -1m2

Reorder the terms:
-324 + -29m + -1m2 = 324 + -324 + 36m + -36m + m2 + -1m2

Combine like terms: 324 + -324 = 0
-324 + -29m + -1m2 = 0 + 36m + -36m + m2 + -1m2
-324 + -29m + -1m2 = 36m + -36m + m2 + -1m2

Combine like terms: 36m + -36m = 0
-324 + -29m + -1m2 = 0 + m2 + -1m2
-324 + -29m + -1m2 = m2 + -1m2

Combine like terms: m2 + -1m2 = 0
-324 + -29m + -1m2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(324 + 29m + m2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(324 + 29m + m2)' equal to zero and attempt to solve:

Simplifying
324 + 29m + m2 = 0

Solving
324 + 29m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-324' to each side of the equation.
324 + 29m + -324 + m2 = 0 + -324

Reorder the terms:
324 + -324 + 29m + m2 = 0 + -324

Combine like terms: 324 + -324 = 0
0 + 29m + m2 = 0 + -324
29m + m2 = 0 + -324

Combine like terms: 0 + -324 = -324
29m + m2 = -324

The m term is 29m.  Take half its coefficient (14.5).
Square it (210.25) and add it to both sides.

Add '210.25' to each side of the equation.
29m + 210.25 + m2 = -324 + 210.25

Reorder the terms:
210.25 + 29m + m2 = -324 + 210.25

Combine like terms: -324 + 210.25 = -113.75
210.25 + 29m + m2 = -113.75

Factor a perfect square on the left side:
(m + 14.5)(m + 14.5) = -113.75

Can't calculate square root of the right side.

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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