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Simplifying 6sin(x + 8) + 3 = 7 Reorder the terms: 6ins(8 + x) + 3 = 7 (8 * 6ins + x * 6ins) + 3 = 7 (48ins + 6insx) + 3 = 7 Reorder the terms: 3 + 48ins + 6insx = 7 Solving 3 + 48ins + 6insx = 7 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 48ins + -3 + 6insx = 7 + -3 Reorder the terms: 3 + -3 + 48ins + 6insx = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 48ins + 6insx = 7 + -3 48ins + 6insx = 7 + -3 Combine like terms: 7 + -3 = 4 48ins + 6insx = 4 Reorder the terms: -4 + 48ins + 6insx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 48ins + 6insx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 24ins + 3insx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 24ins + 3insx)' equal to zero and attempt to solve: Simplifying -2 + 24ins + 3insx = 0 Solving -2 + 24ins + 3insx = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 24ins + 2 + 3insx = 0 + 2 Reorder the terms: -2 + 2 + 24ins + 3insx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 24ins + 3insx = 0 + 2 24ins + 3insx = 0 + 2 Combine like terms: 0 + 2 = 2 24ins + 3insx = 2 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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