(-6w^3+33w-19)-[(-w^2+5w-1)-(12w^2-20w+14)]=

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Solution for (-6w^3+33w-19)-[(-w^2+5w-1)-(12w^2-20w+14)]= equation: 


Simplifying
(-6w3 + 33w + -19) + -1[(-1w2 + 5w + -1) + -1(12w2 + -20w + 14)] = 0

Reorder the terms:
(-19 + 33w + -6w3) + -1[(-1w2 + 5w + -1) + -1(12w2 + -20w + 14)] = 0

Remove parenthesis around (-19 + 33w + -6w3)
-19 + 33w + -6w3 + -1[(-1w2 + 5w + -1) + -1(12w2 + -20w + 14)] = 0

Reorder the terms:
-19 + 33w + -6w3 + -1[(-1 + 5w + -1w2) + -1(12w2 + -20w + 14)] = 0

Remove parenthesis around (-1 + 5w + -1w2)
-19 + 33w + -6w3 + -1[-1 + 5w + -1w2 + -1(12w2 + -20w + 14)] = 0

Reorder the terms:
-19 + 33w + -6w3 + -1[-1 + 5w + -1w2 + -1(14 + -20w + 12w2)] = 0
-19 + 33w + -6w3 + -1[-1 + 5w + -1w2 + (14 * -1 + -20w * -1 + 12w2 * -1)] = 0
-19 + 33w + -6w3 + -1[-1 + 5w + -1w2 + (-14 + 20w + -12w2)] = 0

Reorder the terms:
-19 + 33w + -6w3 + -1[-1 + -14 + 5w + 20w + -1w2 + -12w2] = 0

Combine like terms: -1 + -14 = -15
-19 + 33w + -6w3 + -1[-15 + 5w + 20w + -1w2 + -12w2] = 0

Combine like terms: 5w + 20w = 25w
-19 + 33w + -6w3 + -1[-15 + 25w + -1w2 + -12w2] = 0

Combine like terms: -1w2 + -12w2 = -13w2
-19 + 33w + -6w3 + -1[-15 + 25w + -13w2] = 0
-19 + 33w + -6w3 + [-15 * -1 + 25w * -1 + -13w2 * -1] = 0
-19 + 33w + -6w3 + [15 + -25w + 13w2] = 0

Reorder the terms:
-19 + 15 + 33w + -25w + 13w2 + -6w3 = 0

Combine like terms: -19 + 15 = -4
-4 + 33w + -25w + 13w2 + -6w3 = 0

Combine like terms: 33w + -25w = 8w
-4 + 8w + 13w2 + -6w3 = 0

Solving
-4 + 8w + 13w2 + -6w3 = 0

Solving for variable 'w'.

The solution to this equation could not be determined.

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