sin(3x+40)sin(3x+10)=0.4

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Solution for sin(3x+40)sin(3x+10)=0.4 equation:


Simplifying
sin(3x + 40) * sin(3x + 10) = 0.4

Reorder the terms:
ins(40 + 3x) * sin(3x + 10) = 0.4

Reorder the terms:
ins(40 + 3x) * ins(10 + 3x) = 0.4

Reorder the terms for easier multiplication:
ins * ins(40 + 3x)(10 + 3x) = 0.4

Multiply ins * ins
i2n2s2(40 + 3x)(10 + 3x) = 0.4

Multiply (40 + 3x) * (10 + 3x)
i2n2s2(40(10 + 3x) + 3x * (10 + 3x)) = 0.4
i2n2s2((10 * 40 + 3x * 40) + 3x * (10 + 3x)) = 0.4
i2n2s2((400 + 120x) + 3x * (10 + 3x)) = 0.4
i2n2s2(400 + 120x + (10 * 3x + 3x * 3x)) = 0.4
i2n2s2(400 + 120x + (30x + 9x2)) = 0.4

Combine like terms: 120x + 30x = 150x
i2n2s2(400 + 150x + 9x2) = 0.4
(400 * i2n2s2 + 150x * i2n2s2 + 9x2 * i2n2s2) = 0.4
(400i2n2s2 + 150i2n2s2x + 9i2n2s2x2) = 0.4

Solving
400i2n2s2 + 150i2n2s2x + 9i2n2s2x2 = 0.4

Solving for variable 'i'.

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

Reorder the terms:
-0.4 + 400i2n2s2 + 150i2n2s2x + 9i2n2s2x2 = 0.4 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
-0.4 + 400i2n2s2 + 150i2n2s2x + 9i2n2s2x2 = 0.0

The solution to this equation could not be determined.

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