Sin(3x-30)=sin(2x+60)

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Solution for Sin(3x-30)=sin(2x+60) equation:


Simplifying
Sin(3x + -30) = sin(2x + 60)

Reorder the terms:
inS(-30 + 3x) = sin(2x + 60)
(-30 * inS + 3x * inS) = sin(2x + 60)
(-30inS + 3inxS) = sin(2x + 60)

Reorder the terms:
-30inS + 3inxS = ins(60 + 2x)
-30inS + 3inxS = (60 * ins + 2x * ins)
-30inS + 3inxS = (60ins + 2insx)

Solving
-30inS + 3inxS = 60ins + 2insx

Solving for variable 'i'.

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

Add '-60ins' to each side of the equation.
-30inS + -60ins + 3inxS = 60ins + -60ins + 2insx

Combine like terms: 60ins + -60ins = 0
-30inS + -60ins + 3inxS = 0 + 2insx
-30inS + -60ins + 3inxS = 2insx

Add '-2insx' to each side of the equation.
-30inS + -60ins + -2insx + 3inxS = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
-30inS + -60ins + -2insx + 3inxS = 0

Factor out the Greatest Common Factor (GCF), 'in'.
in(-30S + -60s + -2sx + 3xS) = 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 '(-30S + -60s + -2sx + 3xS)' equal to zero and attempt to solve: Simplifying -30S + -60s + -2sx + 3xS = 0 Solving -30S + -60s + -2sx + 3xS = 0 Move all terms containing i to the left, all other terms to the right. Add '30S' to each side of the equation. -30S + -60s + -2sx + 30S + 3xS = 0 + 30S Reorder the terms: -30S + 30S + -60s + -2sx + 3xS = 0 + 30S Combine like terms: -30S + 30S = 0 0 + -60s + -2sx + 3xS = 0 + 30S -60s + -2sx + 3xS = 0 + 30S Remove the zero: -60s + -2sx + 3xS = 30S Add '60s' to each side of the equation. -60s + -2sx + 60s + 3xS = 30S + 60s Reorder the terms: -60s + 60s + -2sx + 3xS = 30S + 60s Combine like terms: -60s + 60s = 0 0 + -2sx + 3xS = 30S + 60s -2sx + 3xS = 30S + 60s Add '2sx' to each side of the equation. -2sx + 2sx + 3xS = 30S + 60s + 2sx Combine like terms: -2sx + 2sx = 0 0 + 3xS = 30S + 60s + 2sx 3xS = 30S + 60s + 2sx Add '-3xS' to each side of the equation. 3xS + -3xS = 30S + 60s + 2sx + -3xS Combine like terms: 3xS + -3xS = 0 0 = 30S + 60s + 2sx + -3xS Simplifying 0 = 30S + 60s + 2sx + -3xS 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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