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Simplifying (3coax + 7)(-2sinx + -1) = 0 Reorder the terms: (7 + 3acox)(-2sinx + -1) = 0 Reorder the terms: (7 + 3acox)(-1 + -2insx) = 0 Multiply (7 + 3acox) * (-1 + -2insx) (7(-1 + -2insx) + 3acox * (-1 + -2insx)) = 0 ((-1 * 7 + -2insx * 7) + 3acox * (-1 + -2insx)) = 0 ((-7 + -14insx) + 3acox * (-1 + -2insx)) = 0 (-7 + -14insx + (-1 * 3acox + -2insx * 3acox)) = 0 Reorder the terms: (-7 + -14insx + (-6acinosx2 + -3acox)) = 0 (-7 + -14insx + (-6acinosx2 + -3acox)) = 0 Reorder the terms: (-7 + -6acinosx2 + -3acox + -14insx) = 0 (-7 + -6acinosx2 + -3acox + -14insx) = 0 Solving -7 + -6acinosx2 + -3acox + -14insx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -6acinosx2 + -3acox + 7 + -14insx = 0 + 7 Reorder the terms: -7 + 7 + -6acinosx2 + -3acox + -14insx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6acinosx2 + -3acox + -14insx = 0 + 7 -6acinosx2 + -3acox + -14insx = 0 + 7 Combine like terms: 0 + 7 = 7 -6acinosx2 + -3acox + -14insx = 7 Add '14insx' to each side of the equation. -6acinosx2 + -3acox + -14insx + 14insx = 7 + 14insx Combine like terms: -14insx + 14insx = 0 -6acinosx2 + -3acox + 0 = 7 + 14insx -6acinosx2 + -3acox = 7 + 14insx Reorder the terms: -7 + -6acinosx2 + -3acox + -14insx = 7 + 14insx + -7 + -14insx Reorder the terms: -7 + -6acinosx2 + -3acox + -14insx = 7 + -7 + 14insx + -14insx Combine like terms: 7 + -7 = 0 -7 + -6acinosx2 + -3acox + -14insx = 0 + 14insx + -14insx -7 + -6acinosx2 + -3acox + -14insx = 14insx + -14insx Combine like terms: 14insx + -14insx = 0 -7 + -6acinosx2 + -3acox + -14insx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(7 + 6acinosx2 + 3acox + 14insx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(7 + 6acinosx2 + 3acox + 14insx)' equal to zero and attempt to solve: Simplifying 7 + 6acinosx2 + 3acox + 14insx = 0 Solving 7 + 6acinosx2 + 3acox + 14insx = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6acinosx2 + 3acox + -7 + 14insx = 0 + -7 Reorder the terms: 7 + -7 + 6acinosx2 + 3acox + 14insx = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6acinosx2 + 3acox + 14insx = 0 + -7 6acinosx2 + 3acox + 14insx = 0 + -7 Combine like terms: 0 + -7 = -7 6acinosx2 + 3acox + 14insx = -7 Add '-14insx' to each side of the equation. 6acinosx2 + 3acox + 14insx + -14insx = -7 + -14insx Combine like terms: 14insx + -14insx = 0 6acinosx2 + 3acox + 0 = -7 + -14insx 6acinosx2 + 3acox = -7 + -14insx 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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