4N^2+20N+40=0

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Solution for 4N^2+20N+40=0 equation:


Simplifying
4N2 + 20N + 40 = 0

Reorder the terms:
40 + 20N + 4N2 = 0

Solving
40 + 20N + 4N2 = 0

Solving for variable 'N'.

Factor out the Greatest Common Factor (GCF), '4'.
4(10 + 5N + N2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(10 + 5N + N2)' equal to zero and attempt to solve: Simplifying 10 + 5N + N2 = 0 Solving 10 + 5N + N2 = 0 Begin completing the square. Move the constant term to the right: Add '-10' to each side of the equation. 10 + 5N + -10 + N2 = 0 + -10 Reorder the terms: 10 + -10 + 5N + N2 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 5N + N2 = 0 + -10 5N + N2 = 0 + -10 Combine like terms: 0 + -10 = -10 5N + N2 = -10 The N term is 5N. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5N + 6.25 + N2 = -10 + 6.25 Reorder the terms: 6.25 + 5N + N2 = -10 + 6.25 Combine like terms: -10 + 6.25 = -3.75 6.25 + 5N + N2 = -3.75 Factor a perfect square on the left side: (N + 2.5)(N + 2.5) = -3.75 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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