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Simplifying 10sin(3x + -1) = 5 Reorder the terms: 10ins(-1 + 3x) = 5 (-1 * 10ins + 3x * 10ins) = 5 (-10ins + 30insx) = 5 Solving -10ins + 30insx = 5 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Reorder the terms: -5 + -10ins + 30insx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -10ins + 30insx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -2ins + 6insx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -2ins + 6insx)' equal to zero and attempt to solve: Simplifying -1 + -2ins + 6insx = 0 Solving -1 + -2ins + 6insx = 0 Move all terms containing i to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ins + 1 + 6insx = 0 + 1 Reorder the terms: -1 + 1 + -2ins + 6insx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ins + 6insx = 0 + 1 -2ins + 6insx = 0 + 1 Combine like terms: 0 + 1 = 1 -2ins + 6insx = 1 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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