9w^2+6w+1=-18

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Solution for 9w^2+6w+1=-18 equation: 


Simplifying
9w2 + 6w + 1 = -18

Reorder the terms:
1 + 6w + 9w2 = -18

Solving
1 + 6w + 9w2 = -18

Solving for variable 'w'.

Reorder the terms:
1 + 18 + 6w + 9w2 = -18 + 18

Combine like terms: 1 + 18 = 19
19 + 6w + 9w2 = -18 + 18

Combine like terms: -18 + 18 = 0
19 + 6w + 9w2 = 0

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

Divide each side by '9'.
2.111111111 + 0.6666666667w + w2 = 0

Move the constant term to the right:

Add '-2.111111111' to each side of the equation.
2.111111111 + 0.6666666667w + -2.111111111 + w2 = 0 + -2.111111111

Reorder the terms:
2.111111111 + -2.111111111 + 0.6666666667w + w2 = 0 + -2.111111111

Combine like terms: 2.111111111 + -2.111111111 = 0.000000000
0.000000000 + 0.6666666667w + w2 = 0 + -2.111111111
0.6666666667w + w2 = 0 + -2.111111111

Combine like terms: 0 + -2.111111111 = -2.111111111
0.6666666667w + w2 = -2.111111111

The w term is 0.6666666667w.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667w + 0.1111111112 + w2 = -2.111111111 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667w + w2 = -2.111111111 + 0.1111111112

Combine like terms: -2.111111111 + 0.1111111112 = -1.9999999998
0.1111111112 + 0.6666666667w + w2 = -1.9999999998

Factor a perfect square on the left side:
(w + 0.3333333334)(w + 0.3333333334) = -1.9999999998

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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