(1-5w+w^2)(1+w-6w^2)=16

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Solution for (1-5w+w^2)(1+w-6w^2)=16 equation:


Simplifying
(1 + -5w + w2)(1 + w + -6w2) = 16

Multiply (1 + -5w + w2) * (1 + w + -6w2)
(1(1 + w + -6w2) + -5w * (1 + w + -6w2) + w2(1 + w + -6w2)) = 16
((1 * 1 + w * 1 + -6w2 * 1) + -5w * (1 + w + -6w2) + w2(1 + w + -6w2)) = 16
((1 + 1w + -6w2) + -5w * (1 + w + -6w2) + w2(1 + w + -6w2)) = 16
(1 + 1w + -6w2 + (1 * -5w + w * -5w + -6w2 * -5w) + w2(1 + w + -6w2)) = 16
(1 + 1w + -6w2 + (-5w + -5w2 + 30w3) + w2(1 + w + -6w2)) = 16
(1 + 1w + -6w2 + -5w + -5w2 + 30w3 + (1 * w2 + w * w2 + -6w2 * w2)) = 16
(1 + 1w + -6w2 + -5w + -5w2 + 30w3 + (1w2 + w3 + -6w4)) = 16

Reorder the terms:
(1 + 1w + -5w + -6w2 + -5w2 + 1w2 + 30w3 + w3 + -6w4) = 16

Combine like terms: 1w + -5w = -4w
(1 + -4w + -6w2 + -5w2 + 1w2 + 30w3 + w3 + -6w4) = 16

Combine like terms: -6w2 + -5w2 = -11w2
(1 + -4w + -11w2 + 1w2 + 30w3 + w3 + -6w4) = 16

Combine like terms: -11w2 + 1w2 = -10w2
(1 + -4w + -10w2 + 30w3 + w3 + -6w4) = 16

Combine like terms: 30w3 + w3 = 31w3
(1 + -4w + -10w2 + 31w3 + -6w4) = 16

Solving
1 + -4w + -10w2 + 31w3 + -6w4 = 16

Solving for variable 'w'.

Reorder the terms:
1 + -16 + -4w + -10w2 + 31w3 + -6w4 = 16 + -16

Combine like terms: 1 + -16 = -15
-15 + -4w + -10w2 + 31w3 + -6w4 = 16 + -16

Combine like terms: 16 + -16 = 0
-15 + -4w + -10w2 + 31w3 + -6w4 = 0

The solution to this equation could not be determined.

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