89x^2+1=10x

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Solution for 89x^2+1=10x equation:


Simplifying
89x2 + 1 = 10x

Reorder the terms:
1 + 89x2 = 10x

Solving
1 + 89x2 = 10x

Solving for variable 'x'.

Reorder the terms:
1 + -10x + 89x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
1 + -10x + 89x2 = 0

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

Divide each side by '89'.
0.01123595506 + -0.1123595506x + x2 = 0

Move the constant term to the right:

Add '-0.01123595506' to each side of the equation.
0.01123595506 + -0.1123595506x + -0.01123595506 + x2 = 0 + -0.01123595506

Reorder the terms:
0.01123595506 + -0.01123595506 + -0.1123595506x + x2 = 0 + -0.01123595506

Combine like terms: 0.01123595506 + -0.01123595506 = 0.00000000000
0.00000000000 + -0.1123595506x + x2 = 0 + -0.01123595506
-0.1123595506x + x2 = 0 + -0.01123595506

Combine like terms: 0 + -0.01123595506 = -0.01123595506
-0.1123595506x + x2 = -0.01123595506

The x term is -0.1123595506x.  Take half its coefficient (-0.0561797753).
Square it (0.003156167153) and add it to both sides.

Add '0.003156167153' to each side of the equation.
-0.1123595506x + 0.003156167153 + x2 = -0.01123595506 + 0.003156167153

Reorder the terms:
0.003156167153 + -0.1123595506x + x2 = -0.01123595506 + 0.003156167153

Combine like terms: -0.01123595506 + 0.003156167153 = -0.008079787907
0.003156167153 + -0.1123595506x + x2 = -0.008079787907

Factor a perfect square on the left side:
(x + -0.0561797753)(x + -0.0561797753) = -0.008079787907

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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