in(-2y+5)-in(y+4)=in(-11y-2)

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Solution for in(-2y+5)-in(y+4)=in(-11y-2) equation:


Simplifying
in(-2y + 5) + -1in(y + 4) = in(-11y + -2)

Reorder the terms:
in(5 + -2y) + -1in(y + 4) = in(-11y + -2)
(5 * in + -2y * in) + -1in(y + 4) = in(-11y + -2)
(5in + -2iny) + -1in(y + 4) = in(-11y + -2)

Reorder the terms:
5in + -2iny + -1in(4 + y) = in(-11y + -2)
5in + -2iny + (4 * -1in + y * -1in) = in(-11y + -2)
5in + -2iny + (-4in + -1iny) = in(-11y + -2)

Reorder the terms:
5in + -4in + -2iny + -1iny = in(-11y + -2)

Combine like terms: 5in + -4in = 1in
1in + -2iny + -1iny = in(-11y + -2)

Combine like terms: -2iny + -1iny = -3iny
1in + -3iny = in(-11y + -2)

Reorder the terms:
1in + -3iny = in(-2 + -11y)
1in + -3iny = (-2 * in + -11y * in)
1in + -3iny = (-2in + -11iny)

Solving
1in + -3iny = -2in + -11iny

Solving for variable 'i'.

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

Add '2in' to each side of the equation.
1in + 2in + -3iny = -2in + 2in + -11iny

Combine like terms: 1in + 2in = 3in
3in + -3iny = -2in + 2in + -11iny

Combine like terms: -2in + 2in = 0
3in + -3iny = 0 + -11iny
3in + -3iny = -11iny

Add '11iny' to each side of the equation.
3in + -3iny + 11iny = -11iny + 11iny

Combine like terms: -3iny + 11iny = 8iny
3in + 8iny = -11iny + 11iny

Combine like terms: -11iny + 11iny = 0
3in + 8iny = 0

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

Subproblem 1

Set the factor 'in' equal to zero and attempt to solve: Simplifying in = 0 Solving in = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in = 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 '(3 + 8y)' equal to zero and attempt to solve: Simplifying 3 + 8y = 0 Solving 3 + 8y = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8y = 0 + -3 8y = 0 + -3 Combine like terms: 0 + -3 = -3 8y = -3 Add '-8y' to each side of the equation. 8y + -8y = -3 + -8y Combine like terms: 8y + -8y = 0 0 = -3 + -8y Simplifying 0 = -3 + -8y 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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