cos(x^2-5x+40)=sin(2x+10)

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Solution for cos(x^2-5x+40)=sin(2x+10) equation: 


Simplifying
cos(x2 + -5x + 40) = sin(2x + 10)

Reorder the terms:
cos(40 + -5x + x2) = sin(2x + 10)
(40 * cos + -5x * cos + x2 * cos) = sin(2x + 10)
(40cos + -5cosx + cosx2) = sin(2x + 10)

Reorder the terms:
40cos + -5cosx + cosx2 = ins(10 + 2x)
40cos + -5cosx + cosx2 = (10 * ins + 2x * ins)
40cos + -5cosx + cosx2 = (10ins + 2insx)

Solving
40cos + -5cosx + cosx2 = 10ins + 2insx

Solving for variable 'c'.

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

Reorder the terms:
40cos + -5cosx + cosx2 + -10ins + -2insx = 10ins + -10ins + 2insx + -2insx

Combine like terms: 10ins + -10ins = 0
40cos + -5cosx + cosx2 + -10ins + -2insx = 0 + 2insx + -2insx
40cos + -5cosx + cosx2 + -10ins + -2insx = 2insx + -2insx

Combine like terms: 2insx + -2insx = 0
40cos + -5cosx + cosx2 + -10ins + -2insx = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(40co + -5cox + cox2 + -10in + -2inx) = 0


Subproblem 1
Set the factor 's' equal to zero and attempt to solve:

Simplifying
s = 0

Solving
s = 0

Move all terms containing c 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 '(40co + -5cox + cox2 + -10in + -2inx)' equal to zero and attempt to solve:

Simplifying
40co + -5cox + cox2 + -10in + -2inx = 0

Solving
40co + -5cox + cox2 + -10in + -2inx = 0

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

Add '10in' to each side of the equation.
40co + -5cox + cox2 + -10in + 10in + -2inx = 0 + 10in

Combine like terms: -10in + 10in = 0
40co + -5cox + cox2 + 0 + -2inx = 0 + 10in
40co + -5cox + cox2 + -2inx = 0 + 10in
Remove the zero:
40co + -5cox + cox2 + -2inx = 10in

Add '2inx' to each side of the equation.
40co + -5cox + cox2 + -2inx + 2inx = 10in + 2inx

Combine like terms: -2inx + 2inx = 0
40co + -5cox + cox2 + 0 = 10in + 2inx
40co + -5cox + cox2 = 10in + 2inx

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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