6m(6m)-13m+6=0

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Solution for 6m(6m)-13m+6=0 equation:


Simplifying
6m(6m) + -13m + 6 = 0

Remove parenthesis around (6m)
6m * 6m + -13m + 6 = 0

Reorder the terms for easier multiplication:
6 * 6m * m + -13m + 6 = 0

Multiply 6 * 6
36m * m + -13m + 6 = 0

Multiply m * m
36m2 + -13m + 6 = 0

Reorder the terms:
6 + -13m + 36m2 = 0

Solving
6 + -13m + 36m2 = 0

Solving for variable 'm'.

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

Divide each side by '36'.
0.1666666667 + -0.3611111111m + m2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -0.3611111111m + -0.1666666667 + m2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -0.3611111111m + m2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -0.3611111111m + m2 = 0 + -0.1666666667
-0.3611111111m + m2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-0.3611111111m + m2 = -0.1666666667

The m term is -0.3611111111m.  Take half its coefficient (-0.1805555556).
Square it (0.03260030866) and add it to both sides.

Add '0.03260030866' to each side of the equation.
-0.3611111111m + 0.03260030866 + m2 = -0.1666666667 + 0.03260030866

Reorder the terms:
0.03260030866 + -0.3611111111m + m2 = -0.1666666667 + 0.03260030866

Combine like terms: -0.1666666667 + 0.03260030866 = -0.13406635804
0.03260030866 + -0.3611111111m + m2 = -0.13406635804

Factor a perfect square on the left side:
(m + -0.1805555556)(m + -0.1805555556) = -0.13406635804

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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