s(s+4)(s+4+4i)(s+4-4i)=0

Simple and best practice solution for s(s+4)(s+4+4i)(s+4-4i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Solution for s(s+4)(s+4+4i)(s+4-4i)=0 equation:

Simplifying
s(s + 4)(s + 4 + 4i)(s + 4 + -4i) = 0

Reorder the terms:
s(4 + s)(s + 4 + 4i)(s + 4 + -4i) = 0

Reorder the terms:
s(4 + s)(4 + 4i + s)(s + 4 + -4i) = 0

Reorder the terms:
s(4 + s)(4 + 4i + s)(4 + -4i + s) = 0

Multiply (4 + s) * (4 + 4i + s)
s(4(4 + 4i + s) + s(4 + 4i + s))(4 + -4i + s) = 0
s((4 * 4 + 4i * 4 + s * 4) + s(4 + 4i + s))(4 + -4i + s) = 0
s((16 + 16i + 4s) + s(4 + 4i + s))(4 + -4i + s) = 0
s(16 + 16i + 4s + (4 * s + 4i * s + s * s))(4 + -4i + s) = 0

Reorder the terms:
s(16 + 16i + 4s + (4is + 4s + s²))(4 + -4i + s) = 0
s(16 + 16i + 4s + (4is + 4s + s²))(4 + -4i + s) = 0

Reorder the terms:
s(16 + 16i + 4is + 4s + 4s + s²)(4 + -4i + s) = 0

Combine like terms: 4s + 4s = 8s
s(16 + 16i + 4is + 8s + s²)(4 + -4i + s) = 0

Multiply (16 + 16i + 4is + 8s + s²) * (4 + -4i + s)
s(16(4 + -4i + s) + 16i * (4 + -4i + s) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s((4 * 16 + -4i * 16 + s * 16) + 16i * (4 + -4i + s) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s((64 + -64i + 16s) + 16i * (4 + -4i + s) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + (4 * 16i + -4i * 16i + s * 16i) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0

Reorder the terms:
s(64 + -64i + 16s + (64i + 16is + -64i²) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + (64i + 16is + -64i²) + 4is * (4 + -4i + s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + (4 * 4is + -4i * 4is + s * 4is) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0

Reorder the terms:
s(64 + -64i + 16s + 64i + 16is + -64i² + (16is + 4is² + -16i²s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + (16is + 4is² + -16i²s) + 8s * (4 + -4i + s) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + (4 * 8s + -4i * 8s + s * 8s) + s²(4 + -4i + s)) = 0

Reorder the terms:
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + (-32is + 32s + 8s²) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + (-32is + 32s + 8s²) + s²(4 + -4i + s)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + -32is + 32s + 8s² + (4 * s² + -4i * s² + s * s²)) = 0

Reorder the terms:
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + -32is + 32s + 8s² + (-4is² + 4s² + s³)) = 0
s(64 + -64i + 16s + 64i + 16is + -64i² + 16is + 4is² + -16i²s + -32is + 32s + 8s² + (-4is² + 4s² + s³)) = 0

Reorder the terms:
s(64 + -64i + 64i + 16is + 16is + -32is + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0

Combine like terms: -64i + 64i = 0
s(64 + 0 + 16is + 16is + -32is + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0
s(64 + 16is + 16is + -32is + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0

Combine like terms: 16is + 16is = 32is
s(64 + 32is + -32is + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0

Combine like terms: 32is + -32is = 0
s(64 + 0 + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0
s(64 + 4is² + -4is² + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0

Combine like terms: 4is² + -4is² = 0
s(64 + 0 + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0
s(64 + -64i² + -16i²s + 16s + 32s + 8s² + 4s² + s³) = 0

Combine like terms: 16s + 32s = 48s
s(64 + -64i² + -16i²s + 48s + 8s² + 4s² + s³) = 0

Combine like terms: 8s² + 4s² = 12s²
s(64 + -64i² + -16i²s + 48s + 12s² + s³) = 0
(64 * s + -64i² * s + -16i²s * s + 48s * s + 12s² * s + s³ * s) = 0

Reorder the terms:
(-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴) = 0
(-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴) = 0

Solving
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Add '-64s' to each side of the equation.
-64i²s + -16i²s² + 64s + 48s² + 12s³ + -64s + s⁴ = 0 + -64s

Reorder the terms:
-64i²s + -16i²s² + 64s + -64s + 48s² + 12s³ + s⁴ = 0 + -64s

Combine like terms: 64s + -64s = 0
-64i²s + -16i²s² + 0 + 48s² + 12s³ + s⁴ = 0 + -64s
-64i²s + -16i²s² + 48s² + 12s³ + s⁴ = 0 + -64s
Remove the zero:
-64i²s + -16i²s² + 48s² + 12s³ + s⁴ = -64s

Add '-48s²' to each side of the equation.
-64i²s + -16i²s² + 48s² + 12s³ + -48s² + s⁴ = -64s + -48s²

Reorder the terms:
-64i²s + -16i²s² + 48s² + -48s² + 12s³ + s⁴ = -64s + -48s²

Combine like terms: 48s² + -48s² = 0
-64i²s + -16i²s² + 0 + 12s³ + s⁴ = -64s + -48s²
-64i²s + -16i²s² + 12s³ + s⁴ = -64s + -48s²

Add '-12s³' to each side of the equation.
-64i²s + -16i²s² + 12s³ + -12s³ + s⁴ = -64s + -48s² + -12s³

Combine like terms: 12s³ + -12s³ = 0
-64i²s + -16i²s² + 0 + s⁴ = -64s + -48s² + -12s³
-64i²s + -16i²s² + s⁴ = -64s + -48s² + -12s³

Add '-1s⁴' to each side of the equation.
-64i²s + -16i²s² + s⁴ + -1s⁴ = -64s + -48s² + -12s³ + -1s⁴

Combine like terms: s⁴ + -1s⁴ = 0
-64i²s + -16i²s² + 0 = -64s + -48s² + -12s³ + -1s⁴
-64i²s + -16i²s² = -64s + -48s² + -12s³ + -1s⁴

Reorder the terms:
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = -64s + 64s + -48s² + 48s² + -12s³ + 12s³ + -1s⁴ + s⁴

Combine like terms: -64s + 64s = 0
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = 0 + -48s² + 48s² + -12s³ + 12s³ + -1s⁴ + s⁴
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = -48s² + 48s² + -12s³ + 12s³ + -1s⁴ + s⁴

Combine like terms: -48s² + 48s² = 0
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = 0 + -12s³ + 12s³ + -1s⁴ + s⁴
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = -12s³ + 12s³ + -1s⁴ + s⁴

Combine like terms: -12s³ + 12s³ = 0
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = 0 + -1s⁴ + s⁴
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = -1s⁴ + s⁴

Combine like terms: -1s⁴ + s⁴ = 0
-64i²s + -16i²s² + 64s + 48s² + 12s³ + s⁴ = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-64i² + -16i²s + 64 + 48s + 12s² + s³) = 0

Subproblem 1Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

Move all terms containing i to the left, all other terms to the right.

Add '-1s' to each side of the equation.
s + -1s = 0 + -1s
Remove the zero:
0 = -1s

Simplifying
0 = -1s

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-64i² + -16i²s + 64 + 48s + 12s² + s³)' equal to zero and attempt to solve:

Simplifying
-64i² + -16i²s + 64 + 48s + 12s² + s³ = 0

Reorder the terms:
64 + -64i² + -16i²s + 48s + 12s² + s³ = 0

Solving
64 + -64i² + -16i²s + 48s + 12s² + s³ = 0

Move all terms containing i to the left, all other terms to the right.

Add '-64' to each side of the equation.
64 + -64i² + -16i²s + 48s + 12s² + -64 + s³ = 0 + -64

Reorder the terms:
64 + -64 + -64i² + -16i²s + 48s + 12s² + s³ = 0 + -64

Combine like terms: 64 + -64 = 0
0 + -64i² + -16i²s + 48s + 12s² + s³ = 0 + -64
-64i² + -16i²s + 48s + 12s² + s³ = 0 + -64

Combine like terms: 0 + -64 = -64
-64i² + -16i²s + 48s + 12s² + s³ = -64

Add '-48s' to each side of the equation.
-64i² + -16i²s + 48s + 12s² + -48s + s³ = -64 + -48s

Reorder the terms:
-64i² + -16i²s + 48s + -48s + 12s² + s³ = -64 + -48s

Combine like terms: 48s + -48s = 0
-64i² + -16i²s + 0 + 12s² + s³ = -64 + -48s
-64i² + -16i²s + 12s² + s³ = -64 + -48s

Add '-12s²' to each side of the equation.
-64i² + -16i²s + 12s² + -12s² + s³ = -64 + -48s + -12s²

Combine like terms: 12s² + -12s² = 0
-64i² + -16i²s + 0 + s³ = -64 + -48s + -12s²
-64i² + -16i²s + s³ = -64 + -48s + -12s²

Add '-1s³' to each side of the equation.
-64i² + -16i²s + s³ + -1s³ = -64 + -48s + -12s² + -1s³

Combine like terms: s³ + -1s³ = 0
-64i² + -16i²s + 0 = -64 + -48s + -12s² + -1s³
-64i² + -16i²s = -64 + -48s + -12s² + -1s³

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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s(s+4)(s+4+4i)(s+4-4i)=0

Simple and best practice solution for s(s+4)(s+4+4i)(s+4-4i)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for s(s+4)(s+4+4i)(s+4-4i)=0 equation:

Subproblem 1

Subproblem 2

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