(w+2t)(w^2-2wt+4t^2)=0

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Solution for (w+2t)(w^2-2wt+4t^2)=0 equation:


Simplifying
(w + 2t)(w2 + -2wt + 4t2) = 0

Reorder the terms:
(2t + w)(w2 + -2wt + 4t2) = 0

Reorder the terms:
(2t + w)(-2tw + 4t2 + w2) = 0

Multiply (2t + w) * (-2tw + 4t2 + w2)
(2t * (-2tw + 4t2 + w2) + w(-2tw + 4t2 + w2)) = 0
((-2tw * 2t + 4t2 * 2t + w2 * 2t) + w(-2tw + 4t2 + w2)) = 0

Reorder the terms:
((2tw2 + -4t2w + 8t3) + w(-2tw + 4t2 + w2)) = 0
((2tw2 + -4t2w + 8t3) + w(-2tw + 4t2 + w2)) = 0
(2tw2 + -4t2w + 8t3 + (-2tw * w + 4t2 * w + w2 * w)) = 0
(2tw2 + -4t2w + 8t3 + (-2tw2 + 4t2w + w3)) = 0

Reorder the terms:
(2tw2 + -2tw2 + -4t2w + 4t2w + 8t3 + w3) = 0

Combine like terms: 2tw2 + -2tw2 = 0
(0 + -4t2w + 4t2w + 8t3 + w3) = 0
(-4t2w + 4t2w + 8t3 + w3) = 0

Combine like terms: -4t2w + 4t2w = 0
(0 + 8t3 + w3) = 0
(8t3 + w3) = 0

Solving
8t3 + w3 = 0

Solving for variable 't'.

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

Add '-1w3' to each side of the equation.
8t3 + w3 + -1w3 = 0 + -1w3

Combine like terms: w3 + -1w3 = 0
8t3 + 0 = 0 + -1w3
8t3 = 0 + -1w3
Remove the zero:
8t3 = -1w3

Divide each side by '8'.
t3 = -0.125w3

Simplifying
t3 = -0.125w3

Combine like terms: -0.125w3 + 0.125w3 = 0.000
t3 + 0.125w3 = 0.000

The solution to this equation could not be determined.

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