(sinx-2)(sinx+5)=

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Solution for (sinx-2)(sinx+5)= equation: 


Simplifying
(sinx + -2)(sinx + 5) = 0

Reorder the terms:
(-2 + insx)(sinx + 5) = 0

Reorder the terms:
(-2 + insx)(5 + insx) = 0

Multiply (-2 + insx) * (5 + insx)
(-2(5 + insx) + insx(5 + insx)) = 0
((5 * -2 + insx * -2) + insx(5 + insx)) = 0
((-10 + -2insx) + insx(5 + insx)) = 0
(-10 + -2insx + (5 * insx + insx * insx)) = 0
(-10 + -2insx + (5insx + i2n2s2x2)) = 0

Combine like terms: -2insx + 5insx = 3insx
(-10 + 3insx + i2n2s2x2) = 0

Solving
-10 + 3insx + i2n2s2x2 = 0

Solving for variable 'i'.

Factor a trinomial.
(-5 + -1insx)(2 + -1insx) = 0


Subproblem 1
Set the factor '(-5 + -1insx)' equal to zero and attempt to solve:

Simplifying
-5 + -1insx = 0

Solving
-5 + -1insx = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1insx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1insx = 0 + 5
-1insx = 0 + 5

Combine like terms: 0 + 5 = 5
-1insx = 5

Divide each side by '-1nsx'.
i = -5n-1s-1x-1

Simplifying
i = -5n-1s-1x-1

Subproblem 2
Set the factor '(2 + -1insx)' equal to zero and attempt to solve:

Simplifying
2 + -1insx = 0

Solving
2 + -1insx = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1insx = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1insx = 0 + -2
-1insx = 0 + -2

Combine like terms: 0 + -2 = -2
-1insx = -2

Divide each side by '-1nsx'.
i = 2n-1s-1x-1

Simplifying
i = 2n-1s-1x-1
Solution
i = {-5n-1s-1x-1, 2n-1s-1x-1}

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