Abs(z+-1)=abs(z+1)

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Solution for Abs(z+-1)=abs(z+1) equation:


Simplifying
Abs(z + -1) = abs(z + 1)

Reorder the terms:
bsA(-1 + z) = abs(z + 1)
(-1 * bsA + z * bsA) = abs(z + 1)
(-1bsA + bszA) = abs(z + 1)

Reorder the terms:
-1bsA + bszA = abs(1 + z)
-1bsA + bszA = (1 * abs + z * abs)
-1bsA + bszA = (1abs + absz)

Solving
-1bsA + bszA = 1abs + absz

Solving for variable 'b'.

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

Add '-1abs' to each side of the equation.
-1bsA + -1abs + bszA = 1abs + -1abs + absz

Reorder the terms:
-1abs + -1bsA + bszA = 1abs + -1abs + absz

Combine like terms: 1abs + -1abs = 0
-1abs + -1bsA + bszA = 0 + absz
-1abs + -1bsA + bszA = absz

Add '-1absz' to each side of the equation.
-1abs + -1bsA + -1absz + bszA = absz + -1absz

Reorder the terms:
-1abs + -1absz + -1bsA + bszA = absz + -1absz

Combine like terms: absz + -1absz = 0
-1abs + -1absz + -1bsA + bszA = 0

Factor out the Greatest Common Factor (GCF), 'bs'.
bs(-1a + -1az + -1A + zA) = 0

Subproblem 1

Set the factor 'bs' equal to zero and attempt to solve: Simplifying bs = 0 Solving bs = 0 Move all terms containing b to the left, all other terms to the right. Simplifying bs = 0 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 '(-1a + -1az + -1A + zA)' equal to zero and attempt to solve: Simplifying -1a + -1az + -1A + zA = 0 Reorder the terms: -1A + -1a + -1az + zA = 0 Solving -1A + -1a + -1az + zA = 0 Move all terms containing b to the left, all other terms to the right. Add 'A' to each side of the equation. -1A + -1a + -1az + A + zA = 0 + A Reorder the terms: -1A + A + -1a + -1az + zA = 0 + A Combine like terms: -1A + A = 0 0 + -1a + -1az + zA = 0 + A -1a + -1az + zA = 0 + A Remove the zero: -1a + -1az + zA = A Add 'a' to each side of the equation. -1a + -1az + a + zA = A + a Reorder the terms: -1a + a + -1az + zA = A + a Combine like terms: -1a + a = 0 0 + -1az + zA = A + a -1az + zA = A + a Add 'az' to each side of the equation. -1az + az + zA = A + a + az Combine like terms: -1az + az = 0 0 + zA = A + a + az zA = A + a + az Add '-1zA' to each side of the equation. zA + -1zA = A + a + az + -1zA Combine like terms: zA + -1zA = 0 0 = A + a + az + -1zA Simplifying 0 = A + a + az + -1zA 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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