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Simplifying 2sin(2x + 5) + sqrt(2) = 0 Reorder the terms: 2ins(5 + 2x) + sqrt(2) = 0 (5 * 2ins + 2x * 2ins) + sqrt(2) = 0 (10ins + 4insx) + sqrt(2) = 0 Reorder the terms for easier multiplication: 10ins + 4insx + 2qrst = 0 Solving 10ins + 4insx + 2qrst = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2qrst' to each side of the equation. 10ins + 4insx + 2qrst + -2qrst = 0 + -2qrst Combine like terms: 2qrst + -2qrst = 0 10ins + 4insx + 0 = 0 + -2qrst 10ins + 4insx = 0 + -2qrst Remove the zero: 10ins + 4insx = -2qrst Combine like terms: -2qrst + 2qrst = 0 10ins + 4insx + 2qrst = 0 Factor out the Greatest Common Factor (GCF), '2s'. 2s(5in + 2inx + qrt) = 0 Ignore the factor 2.Subproblem 1
Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing i to the left, all other terms to the right. Add '-1s' to each side of the equation. s + -1s = 0 + -1s Remove the zero: 0 = -1s Simplifying 0 = -1s 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 '(5in + 2inx + qrt)' equal to zero and attempt to solve: Simplifying 5in + 2inx + qrt = 0 Solving 5in + 2inx + qrt = 0 Move all terms containing i to the left, all other terms to the right. Add '-1qrt' to each side of the equation. 5in + 2inx + qrt + -1qrt = 0 + -1qrt Combine like terms: qrt + -1qrt = 0 5in + 2inx + 0 = 0 + -1qrt 5in + 2inx = 0 + -1qrt Remove the zero: 5in + 2inx = -1qrt 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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