12w^3+10w^2-42w=

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Solution for 12w^3+10w^2-42w= equation:


Simplifying
12w3 + 10w2 + -42w = 0

Reorder the terms:
-42w + 10w2 + 12w3 = 0

Solving
-42w + 10w2 + 12w3 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-21 + 5w + 6w2) = 0

Factor a trinomial.
2w((-7 + -3w)(3 + -2w)) = 0

Ignore the factor 2.

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 '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333

Subproblem 3

Set the factor '(3 + -2w)' equal to zero and attempt to solve: Simplifying 3 + -2w = 0 Solving 3 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2w = 0 + -3 -2w = 0 + -3 Combine like terms: 0 + -3 = -3 -2w = -3 Divide each side by '-2'. w = 1.5 Simplifying w = 1.5

Solution

w = {0, -2.333333333, 1.5}

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