2sin^2x+5x+3=0

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Solution for 2sin^2x+5x+3=0 equation: 


Simplifying
2sin2x + 5x + 3 = 0

Reorder the terms:
3 + 2in2sx + 5x = 0

Solving
3 + 2in2sx + 5x = 0

Solving for variable 'i'.

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

Add '-3' to each side of the equation.
3 + 2in2sx + -3 + 5x = 0 + -3

Reorder the terms:
3 + -3 + 2in2sx + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2in2sx + 5x = 0 + -3
2in2sx + 5x = 0 + -3

Combine like terms: 0 + -3 = -3
2in2sx + 5x = -3

Add '-5x' to each side of the equation.
2in2sx + 5x + -5x = -3 + -5x

Combine like terms: 5x + -5x = 0
2in2sx + 0 = -3 + -5x
2in2sx = -3 + -5x

Divide each side by '2n2sx'.
i = -1.5n-2s-1x-1 + -2.5n-2s-1

Simplifying
i = -1.5n-2s-1x-1 + -2.5n-2s-1

Reorder the terms:
i = -2.5n-2s-1 + -1.5n-2s-1x-1

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