0=6In(5x+5)

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Solution for 0=6In(5x+5) equation:


Simplifying
0 = 6In(5x + 5)

Reorder the terms:
0 = 6nI(5 + 5x)
0 = (5 * 6nI + 5x * 6nI)
0 = (30nI + 30nxI)

Solving
0 = 30nI + 30nxI

Solving for variable 'n'.

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

Add '-30nI' to each side of the equation.
0 + -30nI = 30nI + -30nI + 30nxI
Remove the zero:
-30nI = 30nI + -30nI + 30nxI

Combine like terms: 30nI + -30nI = 0
-30nI = 0 + 30nxI
-30nI = 30nxI

Add '-30nxI' to each side of the equation.
-30nI + -30nxI = 30nxI + -30nxI

Combine like terms: 30nxI + -30nxI = 0
-30nI + -30nxI = 0

Factor out the Greatest Common Factor (GCF), '-30nI'.
-30nI(1 + x) = 0

Ignore the factor -30.

Subproblem 1

Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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