17x^2-21x=-18

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Solution for 17x^2-21x=-18 equation:


Simplifying
17x2 + -21x = -18

Reorder the terms:
-21x + 17x2 = -18

Solving
-21x + 17x2 = -18

Solving for variable 'x'.

Reorder the terms:
18 + -21x + 17x2 = -18 + 18

Combine like terms: -18 + 18 = 0
18 + -21x + 17x2 = 0

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

Divide each side by '17'.
1.058823529 + -1.235294118x + x2 = 0

Move the constant term to the right:

Add '-1.058823529' to each side of the equation.
1.058823529 + -1.235294118x + -1.058823529 + x2 = 0 + -1.058823529

Reorder the terms:
1.058823529 + -1.058823529 + -1.235294118x + x2 = 0 + -1.058823529

Combine like terms: 1.058823529 + -1.058823529 = 0.000000000
0.000000000 + -1.235294118x + x2 = 0 + -1.058823529
-1.235294118x + x2 = 0 + -1.058823529

Combine like terms: 0 + -1.058823529 = -1.058823529
-1.235294118x + x2 = -1.058823529

The x term is -1.235294118x.  Take half its coefficient (-0.617647059).
Square it (0.3814878895) and add it to both sides.

Add '0.3814878895' to each side of the equation.
-1.235294118x + 0.3814878895 + x2 = -1.058823529 + 0.3814878895

Reorder the terms:
0.3814878895 + -1.235294118x + x2 = -1.058823529 + 0.3814878895

Combine like terms: -1.058823529 + 0.3814878895 = -0.6773356395
0.3814878895 + -1.235294118x + x2 = -0.6773356395

Factor a perfect square on the left side:
(x + -0.617647059)(x + -0.617647059) = -0.6773356395

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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