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Simplifying sin(x + 45) = 2sinx Reorder the terms: ins(45 + x) = 2sinx (45 * ins + x * ins) = 2sinx (45ins + insx) = 2sinx Solving 45ins + insx = 2insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2insx' to each side of the equation. 45ins + insx + -2insx = 2insx + -2insx Combine like terms: insx + -2insx = -1insx 45ins + -1insx = 2insx + -2insx Combine like terms: 2insx + -2insx = 0 45ins + -1insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(45 + -1x) = 0Subproblem 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 '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Add 'x' to each side of the equation. -1x + x = -45 + x Combine like terms: -1x + x = 0 0 = -45 + x Simplifying 0 = -45 + x 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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