130x^2+1=18x

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Solution for 130x^2+1=18x equation:


Simplifying
130x2 + 1 = 18x

Reorder the terms:
1 + 130x2 = 18x

Solving
1 + 130x2 = 18x

Solving for variable 'x'.

Reorder the terms:
1 + -18x + 130x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
1 + -18x + 130x2 = 0

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

Divide each side by '130'.
0.007692307692 + -0.1384615385x + x2 = 0

Move the constant term to the right:

Add '-0.007692307692' to each side of the equation.
0.007692307692 + -0.1384615385x + -0.007692307692 + x2 = 0 + -0.007692307692

Reorder the terms:
0.007692307692 + -0.007692307692 + -0.1384615385x + x2 = 0 + -0.007692307692

Combine like terms: 0.007692307692 + -0.007692307692 = 0.000000000000
0.000000000000 + -0.1384615385x + x2 = 0 + -0.007692307692
-0.1384615385x + x2 = 0 + -0.007692307692

Combine like terms: 0 + -0.007692307692 = -0.007692307692
-0.1384615385x + x2 = -0.007692307692

The x term is -0.1384615385x.  Take half its coefficient (-0.06923076925).
Square it (0.004792899411) and add it to both sides.

Add '0.004792899411' to each side of the equation.
-0.1384615385x + 0.004792899411 + x2 = -0.007692307692 + 0.004792899411

Reorder the terms:
0.004792899411 + -0.1384615385x + x2 = -0.007692307692 + 0.004792899411

Combine like terms: -0.007692307692 + 0.004792899411 = -0.002899408281
0.004792899411 + -0.1384615385x + x2 = -0.002899408281

Factor a perfect square on the left side:
(x + -0.06923076925)(x + -0.06923076925) = -0.002899408281

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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