64x^2+105x+56=0

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Solution for 64x^2+105x+56=0 equation:


Simplifying
64x2 + 105x + 56 = 0

Reorder the terms:
56 + 105x + 64x2 = 0

Solving
56 + 105x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
0.875 + 1.640625x + x2 = 0

Move the constant term to the right:

Add '-0.875' to each side of the equation.
0.875 + 1.640625x + -0.875 + x2 = 0 + -0.875

Reorder the terms:
0.875 + -0.875 + 1.640625x + x2 = 0 + -0.875

Combine like terms: 0.875 + -0.875 = 0.000
0.000 + 1.640625x + x2 = 0 + -0.875
1.640625x + x2 = 0 + -0.875

Combine like terms: 0 + -0.875 = -0.875
1.640625x + x2 = -0.875

The x term is 1.640625x.  Take half its coefficient (0.8203125).
Square it (0.6729125977) and add it to both sides.

Add '0.6729125977' to each side of the equation.
1.640625x + 0.6729125977 + x2 = -0.875 + 0.6729125977

Reorder the terms:
0.6729125977 + 1.640625x + x2 = -0.875 + 0.6729125977

Combine like terms: -0.875 + 0.6729125977 = -0.2020874023
0.6729125977 + 1.640625x + x2 = -0.2020874023

Factor a perfect square on the left side:
(x + 0.8203125)(x + 0.8203125) = -0.2020874023

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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