25x^2+20x+64=0

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Solution for 25x^2+20x+64=0 equation:


Simplifying
25x2 + 20x + 64 = 0

Reorder the terms:
64 + 20x + 25x2 = 0

Solving
64 + 20x + 25x2 = 0

Solving for variable 'x'.

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

Divide each side by '25'.
2.56 + 0.8x + x2 = 0

Move the constant term to the right:

Add '-2.56' to each side of the equation.
2.56 + 0.8x + -2.56 + x2 = 0 + -2.56

Reorder the terms:
2.56 + -2.56 + 0.8x + x2 = 0 + -2.56

Combine like terms: 2.56 + -2.56 = 0.00
0.00 + 0.8x + x2 = 0 + -2.56
0.8x + x2 = 0 + -2.56

Combine like terms: 0 + -2.56 = -2.56
0.8x + x2 = -2.56

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = -2.56 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = -2.56 + 0.16

Combine like terms: -2.56 + 0.16 = -2.4
0.16 + 0.8x + x2 = -2.4

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = -2.4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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