3m^2=-12m-21

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Solution for 3m^2=-12m-21 equation: 


Simplifying
3m2 = -12m + -21

Reorder the terms:
3m2 = -21 + -12m

Solving
3m2 = -21 + -12m

Solving for variable 'm'.

Reorder the terms:
21 + 12m + 3m2 = -21 + -12m + 21 + 12m

Reorder the terms:
21 + 12m + 3m2 = -21 + 21 + -12m + 12m

Combine like terms: -21 + 21 = 0
21 + 12m + 3m2 = 0 + -12m + 12m
21 + 12m + 3m2 = -12m + 12m

Combine like terms: -12m + 12m = 0
21 + 12m + 3m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(7 + 4m + m2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(7 + 4m + m2)' equal to zero and attempt to solve:

Simplifying
7 + 4m + m2 = 0

Solving
7 + 4m + m2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 4m + -7 + m2 = 0 + -7

Reorder the terms:
7 + -7 + 4m + m2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 4m + m2 = 0 + -7
4m + m2 = 0 + -7

Combine like terms: 0 + -7 = -7
4m + m2 = -7

The m term is 4m.  Take half its coefficient (2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
4m + 4 + m2 = -7 + 4

Reorder the terms:
4 + 4m + m2 = -7 + 4

Combine like terms: -7 + 4 = -3
4 + 4m + m2 = -3

Factor a perfect square on the left side:
(m + 2)(m + 2) = -3

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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