77x^2-10x=-3

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Solution for 77x^2-10x=-3 equation:


Simplifying
77x2 + -10x = -3

Reorder the terms:
-10x + 77x2 = -3

Solving
-10x + 77x2 = -3

Solving for variable 'x'.

Reorder the terms:
3 + -10x + 77x2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -10x + 77x2 = 0

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

Divide each side by '77'.
0.03896103896 + -0.1298701299x + x2 = 0

Move the constant term to the right:

Add '-0.03896103896' to each side of the equation.
0.03896103896 + -0.1298701299x + -0.03896103896 + x2 = 0 + -0.03896103896

Reorder the terms:
0.03896103896 + -0.03896103896 + -0.1298701299x + x2 = 0 + -0.03896103896

Combine like terms: 0.03896103896 + -0.03896103896 = 0.00000000000
0.00000000000 + -0.1298701299x + x2 = 0 + -0.03896103896
-0.1298701299x + x2 = 0 + -0.03896103896

Combine like terms: 0 + -0.03896103896 = -0.03896103896
-0.1298701299x + x2 = -0.03896103896

The x term is -0.1298701299x.  Take half its coefficient (-0.06493506495).
Square it (0.004216562660) and add it to both sides.

Add '0.004216562660' to each side of the equation.
-0.1298701299x + 0.004216562660 + x2 = -0.03896103896 + 0.004216562660

Reorder the terms:
0.004216562660 + -0.1298701299x + x2 = -0.03896103896 + 0.004216562660

Combine like terms: -0.03896103896 + 0.004216562660 = -0.0347444763
0.004216562660 + -0.1298701299x + x2 = -0.0347444763

Factor a perfect square on the left side:
(x + -0.06493506495)(x + -0.06493506495) = -0.0347444763

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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