9m-3m(m-3)=15m+7

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Solution for 9m-3m(m-3)=15m+7 equation: 


Simplifying
9m + -3m(m + -3) = 15m + 7

Reorder the terms:
9m + -3m(-3 + m) = 15m + 7
9m + (-3 * -3m + m * -3m) = 15m + 7
9m + (9m + -3m2) = 15m + 7

Combine like terms: 9m + 9m = 18m
18m + -3m2 = 15m + 7

Reorder the terms:
18m + -3m2 = 7 + 15m

Solving
18m + -3m2 = 7 + 15m

Solving for variable 'm'.

Reorder the terms:
-7 + 18m + -15m + -3m2 = 7 + 15m + -7 + -15m

Combine like terms: 18m + -15m = 3m
-7 + 3m + -3m2 = 7 + 15m + -7 + -15m

Reorder the terms:
-7 + 3m + -3m2 = 7 + -7 + 15m + -15m

Combine like terms: 7 + -7 = 0
-7 + 3m + -3m2 = 0 + 15m + -15m
-7 + 3m + -3m2 = 15m + -15m

Combine like terms: 15m + -15m = 0
-7 + 3m + -3m2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
2.333333333 + -1m + m2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1m + -2.333333333 + m2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1m + m2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1m + m2 = 0 + -2.333333333
-1m + m2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1m + m2 = -2.333333333

The m term is -1m.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1m + 0.25 + m2 = -2.333333333 + 0.25

Reorder the terms:
0.25 + -1m + m2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
0.25 + -1m + m2 = -2.083333333

Factor a perfect square on the left side:
(m + -0.5)(m + -0.5) = -2.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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