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Simplifying 0 = 7sin3(x2 + 3x) Reorder the terms: 0 = 7in3s(3x + x2) 0 = (3x * 7in3s + x2 * 7in3s) 0 = (21in3sx + 7in3sx2) Solving 0 = 21in3sx + 7in3sx2 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-21in3sx' to each side of the equation. 0 + -21in3sx = 21in3sx + -21in3sx + 7in3sx2 Remove the zero: -21in3sx = 21in3sx + -21in3sx + 7in3sx2 Combine like terms: 21in3sx + -21in3sx = 0 -21in3sx = 0 + 7in3sx2 -21in3sx = 7in3sx2 Add '-7in3sx2' to each side of the equation. -21in3sx + -7in3sx2 = 7in3sx2 + -7in3sx2 Combine like terms: 7in3sx2 + -7in3sx2 = 0 -21in3sx + -7in3sx2 = 0 Factor out the Greatest Common Factor (GCF), '-7in3sx'. -7in3sx(3 + x) = 0 Ignore the factor -7.Subproblem 1
Set the factor 'in3sx' equal to zero and attempt to solve: Simplifying in3sx = 0 Solving in3sx = 0 Move all terms containing i to the left, all other terms to the right. Simplifying in3sx = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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