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Simplifying 0 = 3sin(3x + y) 0 = (3x * 3ins + y * 3ins) 0 = (9insx + 3insy) Solving 0 = 9insx + 3insy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-9insx' to each side of the equation. 0 + -9insx = 9insx + -9insx + 3insy Remove the zero: -9insx = 9insx + -9insx + 3insy Combine like terms: 9insx + -9insx = 0 -9insx = 0 + 3insy -9insx = 3insy Add '-3insy' to each side of the equation. -9insx + -3insy = 3insy + -3insy Combine like terms: 3insy + -3insy = 0 -9insx + -3insy = 0 Factor out the Greatest Common Factor (GCF), '-3ins'. -3ins(3x + y) = 0 Ignore the factor -3.Subproblem 1
Set the factor 'ins' equal to zero and attempt to solve: Simplifying ins = 0 Solving ins = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ins = 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 '(3x + y)' equal to zero and attempt to solve: Simplifying 3x + y = 0 Solving 3x + y = 0 Move all terms containing i to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + y = 0 + -3x y = 0 + -3x Remove the zero: y = -3x Add '-1y' to each side of the equation. y + -1y = -3x + -1y Combine like terms: y + -1y = 0 0 = -3x + -1y Simplifying 0 = -3x + -1y 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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