16x^2+160x+2500=0

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Solution for 16x^2+160x+2500=0 equation: 


Simplifying
16x2 + 160x + 2500 = 0

Reorder the terms:
2500 + 160x + 16x2 = 0

Solving
2500 + 160x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(625 + 40x + 4x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(625 + 40x + 4x2)' equal to zero and attempt to solve:

Simplifying
625 + 40x + 4x2 = 0

Solving
625 + 40x + 4x2 = 0

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

Divide each side by '4'.
156.25 + 10x + x2 = 0

Move the constant term to the right:

Add '-156.25' to each side of the equation.
156.25 + 10x + -156.25 + x2 = 0 + -156.25

Reorder the terms:
156.25 + -156.25 + 10x + x2 = 0 + -156.25

Combine like terms: 156.25 + -156.25 = 0.00
0.00 + 10x + x2 = 0 + -156.25
10x + x2 = 0 + -156.25

Combine like terms: 0 + -156.25 = -156.25
10x + x2 = -156.25

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -156.25 + 25

Reorder the terms:
25 + 10x + x2 = -156.25 + 25

Combine like terms: -156.25 + 25 = -131.25
25 + 10x + x2 = -131.25

Factor a perfect square on the left side:
(x + 5)(x + 5) = -131.25

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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