senx(senx+2)=3

Solution for senx(senx+2)=3 equation:

Simplifying
senx(senx + 2) = 3

Reorder the terms:
ensx(2 + ensx) = 3
(2 * ensx + ensx * ensx) = 3
(2ensx + e2n2s2x2) = 3

Solving
2ensx + e2n2s2x2 = 3

Solving for variable 'e'.

Reorder the terms:
-3 + 2ensx + e2n2s2x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2ensx + e2n2s2x2 = 0

Factor a trinomial.
(-3 + -1ensx)(1 + -1ensx) = 0

Subproblem 1
Set the factor '(-3 + -1ensx)' equal to zero and attempt to solve:

Simplifying
-3 + -1ensx = 0

Solving
-3 + -1ensx = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1ensx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1ensx = 0 + 3
-1ensx = 0 + 3

Combine like terms: 0 + 3 = 3
-1ensx = 3

Divide each side by '-1nsx'.
e = -3n-1s-1x-1

Simplifying
e = -3n-1s-1x-1
Subproblem 2
Set the factor '(1 + -1ensx)' equal to zero and attempt to solve:

Simplifying
1 + -1ensx = 0

Solving
1 + -1ensx = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1ensx = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1ensx = 0 + -1
-1ensx = 0 + -1

Combine like terms: 0 + -1 = -1
-1ensx = -1

Divide each side by '-1nsx'.
e = n-1s-1x-1

Simplifying
e = n-1s-1x-1
Solution
e = {-3n-1s-1x-1, n-1s-1x-1}