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Simplifying sin(x) + sin(11x) + cos(14x) + abs(18x) = abs(x + -1sin(x)) Multiply ins * x insx + sin(11x) + cos(14x) + abs(18x) = abs(x + -1sin(x)) Remove parenthesis around (11x) insx + ins * 11x + cos(14x) + abs(18x) = abs(x + -1sin(x)) Reorder the terms for easier multiplication: insx + 11ins * x + cos(14x) + abs(18x) = abs(x + -1sin(x)) Multiply ins * x insx + 11insx + cos(14x) + abs(18x) = abs(x + -1sin(x)) Remove parenthesis around (14x) insx + 11insx + cos * 14x + abs(18x) = abs(x + -1sin(x)) Reorder the terms for easier multiplication: insx + 11insx + 14cos * x + abs(18x) = abs(x + -1sin(x)) Multiply cos * x insx + 11insx + 14cosx + abs(18x) = abs(x + -1sin(x)) Remove parenthesis around (18x) insx + 11insx + 14cosx + abs * 18x = abs(x + -1sin(x)) Reorder the terms for easier multiplication: insx + 11insx + 14cosx + 18abs * x = abs(x + -1sin(x)) Multiply abs * x insx + 11insx + 14cosx + 18absx = abs(x + -1sin(x)) Reorder the terms: 18absx + 14cosx + insx + 11insx = abs(x + -1sin(x)) Combine like terms: insx + 11insx = 12insx 18absx + 14cosx + 12insx = abs(x + -1sin(x)) Multiply ins * x 18absx + 14cosx + 12insx = abs(x + -1insx) Reorder the terms: 18absx + 14cosx + 12insx = abs(-1insx + x) 18absx + 14cosx + 12insx = (-1insx * abs + x * abs) 18absx + 14cosx + 12insx = (-1abins2x + absx) Solving 18absx + 14cosx + 12insx = -1abins2x + absx Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'abins2x' to each side of the equation. 18absx + 14cosx + abins2x + 12insx = -1abins2x + abins2x + absx Reorder the terms: abins2x + 18absx + 14cosx + 12insx = -1abins2x + abins2x + absx Combine like terms: -1abins2x + abins2x = 0 abins2x + 18absx + 14cosx + 12insx = 0 + absx abins2x + 18absx + 14cosx + 12insx = absx Add '-1absx' to each side of the equation. abins2x + 18absx + 14cosx + -1absx + 12insx = absx + -1absx Reorder the terms: abins2x + 18absx + -1absx + 14cosx + 12insx = absx + -1absx Combine like terms: 18absx + -1absx = 17absx abins2x + 17absx + 14cosx + 12insx = absx + -1absx Combine like terms: absx + -1absx = 0 abins2x + 17absx + 14cosx + 12insx = 0 Add '-14cosx' to each side of the equation. abins2x + 17absx + 14cosx + -14cosx + 12insx = 0 + -14cosx Combine like terms: 14cosx + -14cosx = 0 abins2x + 17absx + 0 + 12insx = 0 + -14cosx abins2x + 17absx + 12insx = 0 + -14cosx Remove the zero: abins2x + 17absx + 12insx = -14cosx Add '-12insx' to each side of the equation. abins2x + 17absx + 12insx + -12insx = -14cosx + -12insx Combine like terms: 12insx + -12insx = 0 abins2x + 17absx + 0 = -14cosx + -12insx abins2x + 17absx = -14cosx + -12insx Reorder the terms: abins2x + 17absx + 14cosx + 12insx = -14cosx + 14cosx + -12insx + 12insx Combine like terms: -14cosx + 14cosx = 0 abins2x + 17absx + 14cosx + 12insx = 0 + -12insx + 12insx abins2x + 17absx + 14cosx + 12insx = -12insx + 12insx Combine like terms: -12insx + 12insx = 0 abins2x + 17absx + 14cosx + 12insx = 0 Factor out the Greatest Common Factor (GCF), 'sx'. sx(abins + 17ab + 14co + 12in) = 0Subproblem 1
Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing a to the left, all other terms to the right. Add '-1sx' to each side of the equation. sx + -1sx = 0 + -1sx Remove the zero: 0 = -1sx Simplifying 0 = -1sx 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 '(abins + 17ab + 14co + 12in)' equal to zero and attempt to solve: Simplifying abins + 17ab + 14co + 12in = 0 Reorder the terms: 17ab + abins + 14co + 12in = 0 Solving 17ab + abins + 14co + 12in = 0 Move all terms containing a to the left, all other terms to the right. Add '-14co' to each side of the equation. 17ab + abins + 14co + -14co + 12in = 0 + -14co Combine like terms: 14co + -14co = 0 17ab + abins + 0 + 12in = 0 + -14co 17ab + abins + 12in = 0 + -14co Remove the zero: 17ab + abins + 12in = -14co Add '-12in' to each side of the equation. 17ab + abins + 12in + -12in = -14co + -12in Combine like terms: 12in + -12in = 0 17ab + abins + 0 = -14co + -12in 17ab + abins = -14co + -12in 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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