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Simplifying 3sin(x + -10) = 4sin(x + -30) Reorder the terms: 3ins(-10 + x) = 4sin(x + -30) (-10 * 3ins + x * 3ins) = 4sin(x + -30) (-30ins + 3insx) = 4sin(x + -30) Reorder the terms: -30ins + 3insx = 4ins(-30 + x) -30ins + 3insx = (-30 * 4ins + x * 4ins) -30ins + 3insx = (-120ins + 4insx) Solving -30ins + 3insx = -120ins + 4insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '120ins' to each side of the equation. -30ins + 120ins + 3insx = -120ins + 120ins + 4insx Combine like terms: -30ins + 120ins = 90ins 90ins + 3insx = -120ins + 120ins + 4insx Combine like terms: -120ins + 120ins = 0 90ins + 3insx = 0 + 4insx 90ins + 3insx = 4insx Add '-4insx' to each side of the equation. 90ins + 3insx + -4insx = 4insx + -4insx Combine like terms: 3insx + -4insx = -1insx 90ins + -1insx = 4insx + -4insx Combine like terms: 4insx + -4insx = 0 90ins + -1insx = 0 Factor out the Greatest Common Factor (GCF), 'ins'. ins(90 + -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 '(90 + -1x)' equal to zero and attempt to solve: Simplifying 90 + -1x = 0 Solving 90 + -1x = 0 Move all terms containing i to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + -1x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 0 + -90 -1x = 0 + -90 Combine like terms: 0 + -90 = -90 -1x = -90 Add 'x' to each side of the equation. -1x + x = -90 + x Combine like terms: -1x + x = 0 0 = -90 + x Simplifying 0 = -90 + 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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