25a^2+19a+4=0

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Solution for 25a^2+19a+4=0 equation:


Simplifying
25a2 + 19a + 4 = 0

Reorder the terms:
4 + 19a + 25a2 = 0

Solving
4 + 19a + 25a2 = 0

Solving for variable 'a'.

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

Divide each side by '25'.
0.16 + 0.76a + a2 = 0

Move the constant term to the right:

Add '-0.16' to each side of the equation.
0.16 + 0.76a + -0.16 + a2 = 0 + -0.16

Reorder the terms:
0.16 + -0.16 + 0.76a + a2 = 0 + -0.16

Combine like terms: 0.16 + -0.16 = 0.00
0.00 + 0.76a + a2 = 0 + -0.16
0.76a + a2 = 0 + -0.16

Combine like terms: 0 + -0.16 = -0.16
0.76a + a2 = -0.16

The a term is 0.76a.  Take half its coefficient (0.38).
Square it (0.1444) and add it to both sides.

Add '0.1444' to each side of the equation.
0.76a + 0.1444 + a2 = -0.16 + 0.1444

Reorder the terms:
0.1444 + 0.76a + a2 = -0.16 + 0.1444

Combine like terms: -0.16 + 0.1444 = -0.0156
0.1444 + 0.76a + a2 = -0.0156

Factor a perfect square on the left side:
(a + 0.38)(a + 0.38) = -0.0156

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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