4x^2+50x+170=0

Solution for 4x^2+50x+170=0 equation:

Simplifying
4x2 + 50x + 170 = 0

Reorder the terms:
170 + 50x + 4x2 = 0

Solving
170 + 50x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(85 + 25x + 2x2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(85 + 25x + 2x2)' equal to zero and attempt to solve:

Simplifying
85 + 25x + 2x2 = 0

Solving
85 + 25x + 2x2 = 0

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

Divide each side by '2'.
42.5 + 12.5x + x2 = 0

Move the constant term to the right:

Add '-42.5' to each side of the equation.
42.5 + 12.5x + -42.5 + x2 = 0 + -42.5

Reorder the terms:
42.5 + -42.5 + 12.5x + x2 = 0 + -42.5

Combine like terms: 42.5 + -42.5 = 0.0
0.0 + 12.5x + x2 = 0 + -42.5
12.5x + x2 = 0 + -42.5

Combine like terms: 0 + -42.5 = -42.5
12.5x + x2 = -42.5

The x term is 12.5x.  Take half its coefficient (6.25).
Square it (39.0625) and add it to both sides.

Add '39.0625' to each side of the equation.
12.5x + 39.0625 + x2 = -42.5 + 39.0625

Reorder the terms:
39.0625 + 12.5x + x2 = -42.5 + 39.0625

Combine like terms: -42.5 + 39.0625 = -3.4375
39.0625 + 12.5x + x2 = -3.4375

Factor a perfect square on the left side:
(x + 6.25)(x + 6.25) = -3.4375

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.