3x(x)+(3w+1)x+w=0

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Solution for 3x(x)+(3w+1)x+w=0 equation:


Simplifying
3x(x) + (3w + 1) * x + w = 0

Multiply x * x
3x2 + (3w + 1) * x + w = 0

Reorder the terms:
3x2 + (1 + 3w) * x + w = 0

Reorder the terms for easier multiplication:
3x2 + x(1 + 3w) + w = 0
3x2 + (1 * x + 3w * x) + w = 0

Reorder the terms:
3x2 + (3wx + 1x) + w = 0
3x2 + (3wx + 1x) + w = 0

Reorder the terms:
w + 3wx + 1x + 3x2 = 0

Solving
w + 3wx + 1x + 3x2 = 0

Solving for variable 'w'.

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

Add '-1x' to each side of the equation.
w + 3wx + 1x + -1x + 3x2 = 0 + -1x

Combine like terms: 1x + -1x = 0
w + 3wx + 0 + 3x2 = 0 + -1x
w + 3wx + 3x2 = 0 + -1x
Remove the zero:
w + 3wx + 3x2 = -1x

Add '-3x2' to each side of the equation.
w + 3wx + 3x2 + -3x2 = -1x + -3x2

Combine like terms: 3x2 + -3x2 = 0
w + 3wx + 0 = -1x + -3x2
w + 3wx = -1x + -3x2

Reorder the terms:
w + 3wx + x + 3x2 = -1x + x + -3x2 + 3x2

Combine like terms: -1x + x = 0
w + 3wx + x + 3x2 = 0 + -3x2 + 3x2
w + 3wx + x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
w + 3wx + x + 3x2 = 0

The solution to this equation could not be determined.

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