i=15sin(100pit+0.6)

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Solution for i=15sin(100pit+0.6) equation: 


Simplifying
i = 15sin(100pit + 0.6)

Reorder the terms:
i = 15ins(0.6 + 100ipt)
i = (0.6 * 15ins + 100ipt * 15ins)
i = (9ins + 1500i2npst)

Solving
i = 9ins + 1500i2npst

Solving for variable 'i'.

Reorder the terms:
i + -9ins + -1500i2npst = 9ins + -9ins + 1500i2npst + -1500i2npst

Combine like terms: 9ins + -9ins = 0
i + -9ins + -1500i2npst = 0 + 1500i2npst + -1500i2npst
i + -9ins + -1500i2npst = 1500i2npst + -1500i2npst

Combine like terms: 1500i2npst + -1500i2npst = 0
i + -9ins + -1500i2npst = 0

Factor out the Greatest Common Factor (GCF), 'i'.
i(1 + -9ns + -1500inpst) = 0


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

Simplifying
i = 0

Solving
i = 0

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

Simplifying
i = 0

Subproblem 2
Set the factor '(1 + -9ns + -1500inpst)' equal to zero and attempt to solve:

Simplifying
1 + -9ns + -1500inpst = 0

Reorder the terms:
1 + -1500inpst + -9ns = 0

Solving
1 + -1500inpst + -9ns = 0

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

Add '-1' to each side of the equation.
1 + -1500inpst + -1 + -9ns = 0 + -1

Reorder the terms:
1 + -1 + -1500inpst + -9ns = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1500inpst + -9ns = 0 + -1
-1500inpst + -9ns = 0 + -1

Combine like terms: 0 + -1 = -1
-1500inpst + -9ns = -1

Add '9ns' to each side of the equation.
-1500inpst + -9ns + 9ns = -1 + 9ns

Combine like terms: -9ns + 9ns = 0
-1500inpst + 0 = -1 + 9ns
-1500inpst = -1 + 9ns

Divide each side by '-1500npst'.
i = 0.0006666666667n-1p-1s-1t-1 + -0.006p-1t-1

Simplifying
i = 0.0006666666667n-1p-1s-1t-1 + -0.006p-1t-1
Solution
i = {0, 0.0006666666667n-1p-1s-1t-1 + -0.006p-1t-1}

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