-2sin(x)=sin(x+30)

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


Simplifying
-2sin(x) = sin(x + 30)

Multiply ins * x
-2insx = sin(x + 30)

Reorder the terms:
-2insx = ins(30 + x)
-2insx = (30 * ins + x * ins)
-2insx = (30ins + insx)

Solving
-2insx = 30ins + insx

Solving for variable 'i'.

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

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

Combine like terms: 30ins + -30ins = 0
-30ins + -2insx = 0 + insx
-30ins + -2insx = insx

Add '-1insx' to each side of the equation.
-30ins + -2insx + -1insx = insx + -1insx

Combine like terms: -2insx + -1insx = -3insx
-30ins + -3insx = insx + -1insx

Combine like terms: insx + -1insx = 0
-30ins + -3insx = 0

Factor out the Greatest Common Factor (GCF), '-3ins'.
-3ins(10 + x) = 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 '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Add '-1x' to each side of the equation. x + -1x = -10 + -1x Combine like terms: x + -1x = 0 0 = -10 + -1x Simplifying 0 = -10 + -1x 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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