(1+4sinx)(3-sinx)=0

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Solution for (1+4sinx)(3-sinx)=0 equation:


Simplifying
(1 + 4sinx)(3 + -1sinx) = 0

Multiply (1 + 4insx) * (3 + -1insx)
(1(3 + -1insx) + 4insx * (3 + -1insx)) = 0
((3 * 1 + -1insx * 1) + 4insx * (3 + -1insx)) = 0
((3 + -1insx) + 4insx * (3 + -1insx)) = 0
(3 + -1insx + (3 * 4insx + -1insx * 4insx)) = 0
(3 + -1insx + (12insx + -4i2n2s2x2)) = 0

Combine like terms: -1insx + 12insx = 11insx
(3 + 11insx + -4i2n2s2x2) = 0

Solving
3 + 11insx + -4i2n2s2x2 = 0

Solving for variable 'i'.

Factor a trinomial.
(3 + -1insx)(1 + 4insx) = 0

Subproblem 1

Set the factor '(3 + -1insx)' equal to zero and attempt to solve: Simplifying 3 + -1insx = 0 Solving 3 + -1insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1insx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1insx = 0 + -3 -1insx = 0 + -3 Combine like terms: 0 + -3 = -3 -1insx = -3 Divide each side by '-1nsx'. i = 3n-1s-1x-1 Simplifying i = 3n-1s-1x-1

Subproblem 2

Set the factor '(1 + 4insx)' equal to zero and attempt to solve: Simplifying 1 + 4insx = 0 Solving 1 + 4insx = 0 Move all terms containing i to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4insx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4insx = 0 + -1 4insx = 0 + -1 Combine like terms: 0 + -1 = -1 4insx = -1 Divide each side by '4nsx'. i = -0.25n-1s-1x-1 Simplifying i = -0.25n-1s-1x-1

Solution

i = {3n-1s-1x-1, -0.25n-1s-1x-1}

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