(2x+2)(z^5-3)+6=0

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Solution for (2x+2)(z^5-3)+6=0 equation: 


Simplifying
(2x + 2)(z5 + -3) + 6 = 0

Reorder the terms:
(2 + 2x)(z5 + -3) + 6 = 0

Reorder the terms:
(2 + 2x)(-3 + z5) + 6 = 0

Multiply (2 + 2x) * (-3 + z5)
(2(-3 + z5) + 2x * (-3 + z5)) + 6 = 0
((-3 * 2 + z5 * 2) + 2x * (-3 + z5)) + 6 = 0
((-6 + 2z5) + 2x * (-3 + z5)) + 6 = 0
(-6 + 2z5 + (-3 * 2x + z5 * 2x)) + 6 = 0
(-6 + 2z5 + (-6x + 2xz5)) + 6 = 0

Reorder the terms:
(-6 + -6x + 2xz5 + 2z5) + 6 = 0
(-6 + -6x + 2xz5 + 2z5) + 6 = 0

Reorder the terms:
-6 + 6 + -6x + 2xz5 + 2z5 = 0

Combine like terms: -6 + 6 = 0
0 + -6x + 2xz5 + 2z5 = 0
-6x + 2xz5 + 2z5 = 0

Solving
-6x + 2xz5 + 2z5 = 0

Solving for variable 'x'.

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

Add '-2z5' to each side of the equation.
-6x + 2xz5 + 2z5 + -2z5 = 0 + -2z5

Combine like terms: 2z5 + -2z5 = 0
-6x + 2xz5 + 0 = 0 + -2z5
-6x + 2xz5 = 0 + -2z5
Remove the zero:
-6x + 2xz5 = -2z5

Combine like terms: -2z5 + 2z5 = 0
-6x + 2xz5 + 2z5 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3x + xz5 + z5) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3x + xz5 + z5)' equal to zero and attempt to solve:

Simplifying
-3x + xz5 + z5 = 0

Solving
-3x + xz5 + z5 = 0

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

Add '-1z5' to each side of the equation.
-3x + xz5 + z5 + -1z5 = 0 + -1z5

Combine like terms: z5 + -1z5 = 0
-3x + xz5 + 0 = 0 + -1z5
-3x + xz5 = 0 + -1z5
Remove the zero:
-3x + xz5 = -1z5

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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