16x^2+27x+49=0

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Solution for 16x^2+27x+49=0 equation:


Simplifying
16x2 + 27x + 49 = 0

Reorder the terms:
49 + 27x + 16x2 = 0

Solving
49 + 27x + 16x2 = 0

Solving for variable 'x'.

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

Divide each side by '16'.
3.0625 + 1.6875x + x2 = 0

Move the constant term to the right:

Add '-3.0625' to each side of the equation.
3.0625 + 1.6875x + -3.0625 + x2 = 0 + -3.0625

Reorder the terms:
3.0625 + -3.0625 + 1.6875x + x2 = 0 + -3.0625

Combine like terms: 3.0625 + -3.0625 = 0.0000
0.0000 + 1.6875x + x2 = 0 + -3.0625
1.6875x + x2 = 0 + -3.0625

Combine like terms: 0 + -3.0625 = -3.0625
1.6875x + x2 = -3.0625

The x term is 1.6875x.  Take half its coefficient (0.84375).
Square it (0.7119140625) and add it to both sides.

Add '0.7119140625' to each side of the equation.
1.6875x + 0.7119140625 + x2 = -3.0625 + 0.7119140625

Reorder the terms:
0.7119140625 + 1.6875x + x2 = -3.0625 + 0.7119140625

Combine like terms: -3.0625 + 0.7119140625 = -2.3505859375
0.7119140625 + 1.6875x + x2 = -2.3505859375

Factor a perfect square on the left side:
(x + 0.84375)(x + 0.84375) = -2.3505859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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