Y=5sin(4x-3t)WhenY

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Solution for Y=5sin(4x-3t)WhenY equation: 


Simplifying
Y = 5sin(4x + -3t) * WhenY

Reorder the terms:
Y = 5ins(-3t + 4x) * WhenY

Reorder the terms for easier multiplication:
Y = 5ins * ehnWY(-3t + 4x)

Multiply ins * ehnWY
Y = 5ehin2sWY(-3t + 4x)
Y = (-3t * 5ehin2sWY + 4x * 5ehin2sWY)
Y = (-15ehin2stWY + 20ehin2sxWY)

Solving
Y = -15ehin2stWY + 20ehin2sxWY

Solving for variable 'Y'.

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

Add '15ehin2stWY' to each side of the equation.
Y + 15ehin2stWY = -15ehin2stWY + 15ehin2stWY + 20ehin2sxWY

Combine like terms: -15ehin2stWY + 15ehin2stWY = 0
Y + 15ehin2stWY = 0 + 20ehin2sxWY
Y + 15ehin2stWY = 20ehin2sxWY

Add '-20ehin2sxWY' to each side of the equation.
Y + 15ehin2stWY + -20ehin2sxWY = 20ehin2sxWY + -20ehin2sxWY

Combine like terms: 20ehin2sxWY + -20ehin2sxWY = 0
Y + 15ehin2stWY + -20ehin2sxWY = 0

Factor out the Greatest Common Factor (GCF), 'Y'.
Y(1 + 15ehin2stW + -20ehin2sxW) = 0


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

Simplifying
Y = 0

Solving
Y = 0

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

Simplifying
Y = 0

Subproblem 2
Set the factor '(1 + 15ehin2stW + -20ehin2sxW)' equal to zero and attempt to solve:

Simplifying
1 + 15ehin2stW + -20ehin2sxW = 0

Solving
1 + 15ehin2stW + -20ehin2sxW = 0

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

Add '-1' to each side of the equation.
1 + 15ehin2stW + -1 + -20ehin2sxW = 0 + -1

Reorder the terms:
1 + -1 + 15ehin2stW + -20ehin2sxW = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15ehin2stW + -20ehin2sxW = 0 + -1
15ehin2stW + -20ehin2sxW = 0 + -1

Combine like terms: 0 + -1 = -1
15ehin2stW + -20ehin2sxW = -1

Add '-15ehin2stW' to each side of the equation.
15ehin2stW + -15ehin2stW + -20ehin2sxW = -1 + -15ehin2stW

Combine like terms: 15ehin2stW + -15ehin2stW = 0
0 + -20ehin2sxW = -1 + -15ehin2stW
-20ehin2sxW = -1 + -15ehin2stW

Add '20ehin2sxW' to each side of the equation.
-20ehin2sxW + 20ehin2sxW = -1 + -15ehin2stW + 20ehin2sxW

Combine like terms: -20ehin2sxW + 20ehin2sxW = 0
0 = -1 + -15ehin2stW + 20ehin2sxW

Simplifying
0 = -1 + -15ehin2stW + 20ehin2sxW

The solution to this equation could not be determined.

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

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