3604x^2+5858x+5219=0

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Solution for 3604x^2+5858x+5219=0 equation:


Simplifying
3604x2 + 5858x + 5219 = 0

Reorder the terms:
5219 + 5858x + 3604x2 = 0

Solving
5219 + 5858x + 3604x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3604 the coefficient of the squared term: 

Divide each side by '3604'.
1.448113208 + 1.625416204x + x2 = 0

Move the constant term to the right:

Add '-1.448113208' to each side of the equation.
1.448113208 + 1.625416204x + -1.448113208 + x2 = 0 + -1.448113208

Reorder the terms:
1.448113208 + -1.448113208 + 1.625416204x + x2 = 0 + -1.448113208

Combine like terms: 1.448113208 + -1.448113208 = 0.000000000
0.000000000 + 1.625416204x + x2 = 0 + -1.448113208
1.625416204x + x2 = 0 + -1.448113208

Combine like terms: 0 + -1.448113208 = -1.448113208
1.625416204x + x2 = -1.448113208

The x term is 1.625416204x.  Take half its coefficient (0.812708102).
Square it (0.6604944591) and add it to both sides.

Add '0.6604944591' to each side of the equation.
1.625416204x + 0.6604944591 + x2 = -1.448113208 + 0.6604944591

Reorder the terms:
0.6604944591 + 1.625416204x + x2 = -1.448113208 + 0.6604944591

Combine like terms: -1.448113208 + 0.6604944591 = -0.7876187489
0.6604944591 + 1.625416204x + x2 = -0.7876187489

Factor a perfect square on the left side:
(x + 0.812708102)(x + 0.812708102) = -0.7876187489

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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