3x^2+12x+7+2sin(x)=0

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Solution for 3x^2+12x+7+2sin(x)=0 equation:


Simplifying
3x2 + 12x + 7 + 2sin(x) = 0

Multiply ins * x
3x2 + 12x + 7 + 2insx = 0

Reorder the terms:
7 + 2insx + 12x + 3x2 = 0

Solving
7 + 2insx + 12x + 3x2 = 0

Solving for variable 'i'.

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

Add '-7' to each side of the equation.
7 + 2insx + 12x + -7 + 3x2 = 0 + -7

Reorder the terms:
7 + -7 + 2insx + 12x + 3x2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2insx + 12x + 3x2 = 0 + -7
2insx + 12x + 3x2 = 0 + -7

Combine like terms: 0 + -7 = -7
2insx + 12x + 3x2 = -7

Add '-12x' to each side of the equation.
2insx + 12x + -12x + 3x2 = -7 + -12x

Combine like terms: 12x + -12x = 0
2insx + 0 + 3x2 = -7 + -12x
2insx + 3x2 = -7 + -12x

Add '-3x2' to each side of the equation.
2insx + 3x2 + -3x2 = -7 + -12x + -3x2

Combine like terms: 3x2 + -3x2 = 0
2insx + 0 = -7 + -12x + -3x2
2insx = -7 + -12x + -3x2

Divide each side by '2nsx'.
i = -3.5n-1s-1x-1 + -6n-1s-1 + -1.5n-1s-1x

Simplifying
i = -3.5n-1s-1x-1 + -6n-1s-1 + -1.5n-1s-1x

Reorder the terms:
i = -6n-1s-1 + -3.5n-1s-1x-1 + -1.5n-1s-1x

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