7m^2-6m+10=0

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Solution for 7m^2-6m+10=0 equation:


Simplifying
7m2 + -6m + 10 = 0

Reorder the terms:
10 + -6m + 7m2 = 0

Solving
10 + -6m + 7m2 = 0

Solving for variable 'm'.

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

Divide each side by '7'.
1.428571429 + -0.8571428571m + m2 = 0

Move the constant term to the right:

Add '-1.428571429' to each side of the equation.
1.428571429 + -0.8571428571m + -1.428571429 + m2 = 0 + -1.428571429

Reorder the terms:
1.428571429 + -1.428571429 + -0.8571428571m + m2 = 0 + -1.428571429

Combine like terms: 1.428571429 + -1.428571429 = 0.000000000
0.000000000 + -0.8571428571m + m2 = 0 + -1.428571429
-0.8571428571m + m2 = 0 + -1.428571429

Combine like terms: 0 + -1.428571429 = -1.428571429
-0.8571428571m + m2 = -1.428571429

The m term is -0.8571428571m.  Take half its coefficient (-0.4285714286).
Square it (0.1836734694) and add it to both sides.

Add '0.1836734694' to each side of the equation.
-0.8571428571m + 0.1836734694 + m2 = -1.428571429 + 0.1836734694

Reorder the terms:
0.1836734694 + -0.8571428571m + m2 = -1.428571429 + 0.1836734694

Combine like terms: -1.428571429 + 0.1836734694 = -1.2448979596
0.1836734694 + -0.8571428571m + m2 = -1.2448979596

Factor a perfect square on the left side:
(m + -0.4285714286)(m + -0.4285714286) = -1.2448979596

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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