sin(x)+x*cos(x)*(x+1)=0

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Solution for sin(x)+x*cos(x)*(x+1)=0 equation:


Simplifying
sin(x) + x * cos(x)(x + 1) = 0

Multiply ins * x
insx + x * cos(x)(x + 1) = 0

Reorder the terms:
insx + x * cos * x(1 + x) = 0

Multiply x * cos
insx + cosx * x(1 + x) = 0

Multiply cosx * x
insx + cosx2(1 + x) = 0
insx + (1 * cosx2 + x * cosx2) = 0
insx + (1cosx2 + cosx3) = 0

Reorder the terms:
1cosx2 + cosx3 + insx = 0

Solving
1cosx2 + cosx3 + insx = 0

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-1insx' to each side of the equation.
1cosx2 + cosx3 + insx + -1insx = 0 + -1insx

Combine like terms: insx + -1insx = 0
1cosx2 + cosx3 + 0 = 0 + -1insx
1cosx2 + cosx3 = 0 + -1insx
Remove the zero:
1cosx2 + cosx3 = -1insx

Combine like terms: -1insx + insx = 0
1cosx2 + cosx3 + insx = 0

Factor out the Greatest Common Factor (GCF), 'sx'.
sx(cox + cox2 + in) = 0

Subproblem 1

Set the factor 'sx' equal to zero and attempt to solve: Simplifying sx = 0 Solving sx = 0 Move all terms containing c 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 '(cox + cox2 + in)' equal to zero and attempt to solve: Simplifying cox + cox2 + in = 0 Solving cox + cox2 + in = 0 Move all terms containing c to the left, all other terms to the right. Add '-1in' to each side of the equation. cox + cox2 + in + -1in = 0 + -1in Combine like terms: in + -1in = 0 cox + cox2 + 0 = 0 + -1in cox + cox2 = 0 + -1in Remove the zero: cox + cox2 = -1in 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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