(K)9x+1=1-8(3x)

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Solution for (K)9x+1=1-8(3x) equation: 


Simplifying
(K) * 9x + 1 = 1 + -8(3x)

Reorder the terms for easier multiplication:
9K * x + 1 = 1 + -8(3x)

Multiply K * x
9xK + 1 = 1 + -8(3x)

Reorder the terms:
1 + 9xK = 1 + -8(3x)

Remove parenthesis around (3x)
1 + 9xK = 1 + -8 * 3x

Multiply -8 * 3
1 + 9xK = 1 + -24x

Add '-1' to each side of the equation.
1 + -1 + 9xK = 1 + -1 + -24x

Combine like terms: 1 + -1 = 0
0 + 9xK = 1 + -1 + -24x
9xK = 1 + -1 + -24x

Combine like terms: 1 + -1 = 0
9xK = 0 + -24x
9xK = -24x

Solving
9xK = -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
24x + 9xK = -24x + 24x

Combine like terms: -24x + 24x = 0
24x + 9xK = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(8 + 3K) = 0

Ignore the factor 3.

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(8 + 3K)' equal to zero and attempt to solve:

Simplifying
8 + 3K = 0

Solving
8 + 3K = 0

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

Add '-8' to each side of the equation.
8 + -8 + 3K = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3K = 0 + -8
3K = 0 + -8

Combine like terms: 0 + -8 = -8
3K = -8

Add '-3K' to each side of the equation.
3K + -3K = -8 + -3K

Combine like terms: 3K + -3K = 0
0 = -8 + -3K

Simplifying
0 = -8 + -3K

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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