-7w(-3w^2-1)+(-2w)(8w^2+6)=answer

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Solution for -7w(-3w^2-1)+(-2w)(8w^2+6)=answer equation:


Simplifying
-7w(-3w2 + -1) + (-2w)(8w2 + 6) = answer

Reorder the terms:
-7w(-1 + -3w2) + (-2w)(8w2 + 6) = answer
(-1 * -7w + -3w2 * -7w) + (-2w)(8w2 + 6) = answer
(7w + 21w3) + (-2w)(8w2 + 6) = answer

Remove parenthesis around (-2w)
7w + 21w3 + -2w(8w2 + 6) = answer

Reorder the terms:
7w + 21w3 + -2w(6 + 8w2) = answer
7w + 21w3 + (6 * -2w + 8w2 * -2w) = answer
7w + 21w3 + (-12w + -16w3) = answer

Reorder the terms:
7w + -12w + 21w3 + -16w3 = answer

Combine like terms: 7w + -12w = -5w
-5w + 21w3 + -16w3 = answer

Combine like terms: 21w3 + -16w3 = 5w3
-5w + 5w3 = answer

Solving
-5w + 5w3 = aenrsw

Solving for variable 'w'.

Reorder the terms:
-1aenrsw + -5w + 5w3 = aenrsw + -1aenrsw

Combine like terms: aenrsw + -1aenrsw = 0
-1aenrsw + -5w + 5w3 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-1aenrs + -5 + 5w2) = 0

Subproblem 1

Set the factor 'w' equal to zero and attempt to solve: Simplifying w = 0 Solving w = 0 Move all terms containing w to the left, all other terms to the right. Simplifying w = 0

Subproblem 2

Set the factor '(-1aenrs + -5 + 5w2)' equal to zero and attempt to solve: Simplifying -1aenrs + -5 + 5w2 = 0 Reorder the terms: -5 + -1aenrs + 5w2 = 0 Solving -5 + -1aenrs + 5w2 = 0 Move all terms containing w to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -1aenrs + 5 + 5w2 = 0 + 5 Reorder the terms: -5 + 5 + -1aenrs + 5w2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1aenrs + 5w2 = 0 + 5 -1aenrs + 5w2 = 0 + 5 Combine like terms: 0 + 5 = 5 -1aenrs + 5w2 = 5 Add 'aenrs' to each side of the equation. -1aenrs + aenrs + 5w2 = 5 + aenrs Combine like terms: -1aenrs + aenrs = 0 0 + 5w2 = 5 + aenrs 5w2 = 5 + aenrs Divide each side by '5'. w2 = 1 + 0.2aenrs Simplifying w2 = 1 + 0.2aenrs The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

w = {0}

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