9x^2+69x+142=0

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Solution for 9x^2+69x+142=0 equation:


Simplifying
9x2 + 69x + 142 = 0

Reorder the terms:
142 + 69x + 9x2 = 0

Solving
142 + 69x + 9x2 = 0

Solving for variable 'x'.

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

Divide each side by '9'.
15.77777778 + 7.666666667x + x2 = 0

Move the constant term to the right:

Add '-15.77777778' to each side of the equation.
15.77777778 + 7.666666667x + -15.77777778 + x2 = 0 + -15.77777778

Reorder the terms:
15.77777778 + -15.77777778 + 7.666666667x + x2 = 0 + -15.77777778

Combine like terms: 15.77777778 + -15.77777778 = 0.00000000
0.00000000 + 7.666666667x + x2 = 0 + -15.77777778
7.666666667x + x2 = 0 + -15.77777778

Combine like terms: 0 + -15.77777778 = -15.77777778
7.666666667x + x2 = -15.77777778

The x term is 7.666666667x.  Take half its coefficient (3.833333334).
Square it (14.69444445) and add it to both sides.

Add '14.69444445' to each side of the equation.
7.666666667x + 14.69444445 + x2 = -15.77777778 + 14.69444445

Reorder the terms:
14.69444445 + 7.666666667x + x2 = -15.77777778 + 14.69444445

Combine like terms: -15.77777778 + 14.69444445 = -1.08333333
14.69444445 + 7.666666667x + x2 = -1.08333333

Factor a perfect square on the left side:
(x + 3.833333334)(x + 3.833333334) = -1.08333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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