sin(1.75x)-1.75x*x=x-.5

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Solution for sin(1.75x)-1.75x*x=x-.5 equation: 


Simplifying
sin(1.75x) + -1.75x * x = x + -0.5

Remove parenthesis around (1.75x)
ins * 1.75x + -1.75x * x = x + -0.5

Reorder the terms for easier multiplication:
1.75ins * x + -1.75x * x = x + -0.5

Multiply ins * x
1.75insx + -1.75x * x = x + -0.5

Multiply x * x
1.75insx + -1.75x2 = x + -0.5

Reorder the terms:
1.75insx + -1.75x2 = -0.5 + x

Solving
1.75insx + -1.75x2 = -0.5 + x

Solving for variable 'i'.

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

Add '1.75x2' to each side of the equation.
1.75insx + -1.75x2 + 1.75x2 = -0.5 + x + 1.75x2

Combine like terms: -1.75x2 + 1.75x2 = 0.00
1.75insx + 0.00 = -0.5 + x + 1.75x2
1.75insx = -0.5 + x + 1.75x2

Divide each side by '1.75nsx'.
i = -0.2857142857n-1s-1x-1 + 0.5714285714n-1s-1 + n-1s-1x

Simplifying
i = -0.2857142857n-1s-1x-1 + 0.5714285714n-1s-1 + n-1s-1x

Reorder the terms:
i = 0.5714285714n-1s-1 + -0.2857142857n-1s-1x-1 + n-1s-1x

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