81x^2+702x+1521=-50

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Solution for 81x^2+702x+1521=-50 equation:


Simplifying
81x2 + 702x + 1521 = -50

Reorder the terms:
1521 + 702x + 81x2 = -50

Solving
1521 + 702x + 81x2 = -50

Solving for variable 'x'.

Reorder the terms:
1521 + 50 + 702x + 81x2 = -50 + 50

Combine like terms: 1521 + 50 = 1571
1571 + 702x + 81x2 = -50 + 50

Combine like terms: -50 + 50 = 0
1571 + 702x + 81x2 = 0

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

Divide each side by '81'.
19.39506173 + 8.666666667x + x2 = 0

Move the constant term to the right:

Add '-19.39506173' to each side of the equation.
19.39506173 + 8.666666667x + -19.39506173 + x2 = 0 + -19.39506173

Reorder the terms:
19.39506173 + -19.39506173 + 8.666666667x + x2 = 0 + -19.39506173

Combine like terms: 19.39506173 + -19.39506173 = 0.00000000
0.00000000 + 8.666666667x + x2 = 0 + -19.39506173
8.666666667x + x2 = 0 + -19.39506173

Combine like terms: 0 + -19.39506173 = -19.39506173
8.666666667x + x2 = -19.39506173

The x term is 8.666666667x.  Take half its coefficient (4.333333334).
Square it (18.77777778) and add it to both sides.

Add '18.77777778' to each side of the equation.
8.666666667x + 18.77777778 + x2 = -19.39506173 + 18.77777778

Reorder the terms:
18.77777778 + 8.666666667x + x2 = -19.39506173 + 18.77777778

Combine like terms: -19.39506173 + 18.77777778 = -0.61728395
18.77777778 + 8.666666667x + x2 = -0.61728395

Factor a perfect square on the left side:
(x + 4.333333334)(x + 4.333333334) = -0.61728395

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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