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Simplifying i = 15sin(100pit + 0.7) Reorder the terms: i = 15ins(0.7 + 100ipt) i = (0.7 * 15ins + 100ipt * 15ins) i = (10.5ins + 1500i2npst) Solving i = 10.5ins + 1500i2npst Solving for variable 'i'. Reorder the terms: i + -10.5ins + -1500i2npst = 10.5ins + -10.5ins + 1500i2npst + -1500i2npst Combine like terms: 10.5ins + -10.5ins = 0.0 i + -10.5ins + -1500i2npst = 0.0 + 1500i2npst + -1500i2npst i + -10.5ins + -1500i2npst = 1500i2npst + -1500i2npst Combine like terms: 1500i2npst + -1500i2npst = 0 i + -10.5ins + -1500i2npst = 0 Factor out the Greatest Common Factor (GCF), 'i'. i(1 + -10.5ns + -1500inpst) = 0Subproblem 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 = 0Subproblem 2
Set the factor '(1 + -10.5ns + -1500inpst)' equal to zero and attempt to solve: Simplifying 1 + -10.5ns + -1500inpst = 0 Reorder the terms: 1 + -1500inpst + -10.5ns = 0 Solving 1 + -1500inpst + -10.5ns = 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 + -10.5ns = 0 + -1 Reorder the terms: 1 + -1 + -1500inpst + -10.5ns = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1500inpst + -10.5ns = 0 + -1 -1500inpst + -10.5ns = 0 + -1 Combine like terms: 0 + -1 = -1 -1500inpst + -10.5ns = -1 Add '10.5ns' to each side of the equation. -1500inpst + -10.5ns + 10.5ns = -1 + 10.5ns Combine like terms: -10.5ns + 10.5ns = 0.0 -1500inpst + 0.0 = -1 + 10.5ns -1500inpst = -1 + 10.5ns Divide each side by '-1500npst'. i = 0.0006666666667n-1p-1s-1t-1 + -0.007p-1t-1 Simplifying i = 0.0006666666667n-1p-1s-1t-1 + -0.007p-1t-1Solution
i = {0, 0.0006666666667n-1p-1s-1t-1 + -0.007p-1t-1}
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