18w+24=-3w^2

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Solution for 18w+24=-3w^2 equation:


Simplifying
18w + 24 = -3w2

Reorder the terms:
24 + 18w = -3w2

Solving
24 + 18w = -3w2

Solving for variable 'w'.

Combine like terms: -3w2 + 3w2 = 0
24 + 18w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(8 + 6w + w2) = 0

Factor a trinomial.
3((4 + w)(2 + w)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4

Subproblem 2

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

Solution

w = {-4, -2}

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