-3m(-3m)=3m-6

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Solution for -3m(-3m)=3m-6 equation:


Simplifying
-3m(-3m) = 3m + -6

Remove parenthesis around (-3m)
-3m * -3m = 3m + -6

Reorder the terms for easier multiplication:
-3 * -3m * m = 3m + -6

Multiply -3 * -3
9m * m = 3m + -6

Multiply m * m
9m2 = 3m + -6

Reorder the terms:
9m2 = -6 + 3m

Solving
9m2 = -6 + 3m

Solving for variable 'm'.

Reorder the terms:
6 + -3m + 9m2 = -6 + 3m + 6 + -3m

Reorder the terms:
6 + -3m + 9m2 = -6 + 6 + 3m + -3m

Combine like terms: -6 + 6 = 0
6 + -3m + 9m2 = 0 + 3m + -3m
6 + -3m + 9m2 = 3m + -3m

Combine like terms: 3m + -3m = 0
6 + -3m + 9m2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + -1m + 3m2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -1m + 3m2)' equal to zero and attempt to solve: Simplifying 2 + -1m + 3m2 = 0 Solving 2 + -1m + 3m2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 0.6666666667 + -0.3333333333m + m2 = 0 Move the constant term to the right: Add '-0.6666666667' to each side of the equation. 0.6666666667 + -0.3333333333m + -0.6666666667 + m2 = 0 + -0.6666666667 Reorder the terms: 0.6666666667 + -0.6666666667 + -0.3333333333m + m2 = 0 + -0.6666666667 Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000 0.0000000000 + -0.3333333333m + m2 = 0 + -0.6666666667 -0.3333333333m + m2 = 0 + -0.6666666667 Combine like terms: 0 + -0.6666666667 = -0.6666666667 -0.3333333333m + m2 = -0.6666666667 The m term is -0.3333333333m. Take half its coefficient (-0.1666666667). Square it (0.02777777779) and add it to both sides. Add '0.02777777779' to each side of the equation. -0.3333333333m + 0.02777777779 + m2 = -0.6666666667 + 0.02777777779 Reorder the terms: 0.02777777779 + -0.3333333333m + m2 = -0.6666666667 + 0.02777777779 Combine like terms: -0.6666666667 + 0.02777777779 = -0.63888888891 0.02777777779 + -0.3333333333m + m2 = -0.63888888891 Factor a perfect square on the left side: (m + -0.1666666667)(m + -0.1666666667) = -0.63888888891 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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