4x^2+10x+44=0

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Solution for 4x^2+10x+44=0 equation: 


Simplifying
4x2 + 10x + 44 = 0

Reorder the terms:
44 + 10x + 4x2 = 0

Solving
44 + 10x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(22 + 5x + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(22 + 5x + 2x2)' equal to zero and attempt to solve:

Simplifying
22 + 5x + 2x2 = 0

Solving
22 + 5x + 2x2 = 0

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

Divide each side by '2'.
11 + 2.5x + x2 = 0

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 2.5x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 2.5x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2.5x + x2 = 0 + -11
2.5x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
2.5x + x2 = -11

The x term is 2.5x.  Take half its coefficient (1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
2.5x + 1.5625 + x2 = -11 + 1.5625

Reorder the terms:
1.5625 + 2.5x + x2 = -11 + 1.5625

Combine like terms: -11 + 1.5625 = -9.4375
1.5625 + 2.5x + x2 = -9.4375

Factor a perfect square on the left side:
(x + 1.25)(x + 1.25) = -9.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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