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Simplifying 3 = 8sin(2x + 1) + 7 Reorder the terms: 3 = 8ins(1 + 2x) + 7 3 = (1 * 8ins + 2x * 8ins) + 7 3 = (8ins + 16insx) + 7 Reorder the terms: 3 = 7 + 8ins + 16insx Solving 3 = 7 + 8ins + 16insx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8ins' to each side of the equation. 3 + -8ins = 7 + 8ins + -8ins + 16insx Combine like terms: 8ins + -8ins = 0 3 + -8ins = 7 + 0 + 16insx 3 + -8ins = 7 + 16insx Add '-16insx' to each side of the equation. 3 + -8ins + -16insx = 7 + 16insx + -16insx Combine like terms: 16insx + -16insx = 0 3 + -8ins + -16insx = 7 + 0 3 + -8ins + -16insx = 7 Add '-3' to each side of the equation. 3 + -8ins + -3 + -16insx = 7 + -3 Reorder the terms: 3 + -3 + -8ins + -16insx = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -8ins + -16insx = 7 + -3 -8ins + -16insx = 7 + -3 Combine like terms: 7 + -3 = 4 -8ins + -16insx = 4 Reorder the terms: -4 + -8ins + -16insx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -8ins + -16insx = 0 Factor out the Greatest Common Factor (GCF), '-4'. -4(1 + 2ins + 4insx) = 0 Ignore the factor -4.Subproblem 1
Set the factor '(1 + 2ins + 4insx)' equal to zero and attempt to solve: Simplifying 1 + 2ins + 4insx = 0 Solving 1 + 2ins + 4insx = 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 + 4insx = 0 + -1 Reorder the terms: 1 + -1 + 2ins + 4insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2ins + 4insx = 0 + -1 2ins + 4insx = 0 + -1 Combine like terms: 0 + -1 = -1 2ins + 4insx = -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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