49x^2+12x+64=0

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Solution for 49x^2+12x+64=0 equation:


Simplifying
49x2 + 12x + 64 = 0

Reorder the terms:
64 + 12x + 49x2 = 0

Solving
64 + 12x + 49x2 = 0

Solving for variable 'x'.

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

Divide each side by '49'.
1.306122449 + 0.2448979592x + x2 = 0

Move the constant term to the right:

Add '-1.306122449' to each side of the equation.
1.306122449 + 0.2448979592x + -1.306122449 + x2 = 0 + -1.306122449

Reorder the terms:
1.306122449 + -1.306122449 + 0.2448979592x + x2 = 0 + -1.306122449

Combine like terms: 1.306122449 + -1.306122449 = 0.000000000
0.000000000 + 0.2448979592x + x2 = 0 + -1.306122449
0.2448979592x + x2 = 0 + -1.306122449

Combine like terms: 0 + -1.306122449 = -1.306122449
0.2448979592x + x2 = -1.306122449

The x term is 0.2448979592x.  Take half its coefficient (0.1224489796).
Square it (0.01499375261) and add it to both sides.

Add '0.01499375261' to each side of the equation.
0.2448979592x + 0.01499375261 + x2 = -1.306122449 + 0.01499375261

Reorder the terms:
0.01499375261 + 0.2448979592x + x2 = -1.306122449 + 0.01499375261

Combine like terms: -1.306122449 + 0.01499375261 = -1.29112869639
0.01499375261 + 0.2448979592x + x2 = -1.29112869639

Factor a perfect square on the left side:
(x + 0.1224489796)(x + 0.1224489796) = -1.29112869639

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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