3w^2+8w=-5

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Solution for 3w^2+8w=-5 equation:


Simplifying
3w2 + 8w = -5

Reorder the terms:
8w + 3w2 = -5

Solving
8w + 3w2 = -5

Solving for variable 'w'.

Reorder the terms:
5 + 8w + 3w2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + 8w + 3w2 = 0

Factor a trinomial.
(5 + 3w)(1 + w) = 0

Subproblem 1

Set the factor '(5 + 3w)' equal to zero and attempt to solve: Simplifying 5 + 3w = 0 Solving 5 + 3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3w = 0 + -5 3w = 0 + -5 Combine like terms: 0 + -5 = -5 3w = -5 Divide each side by '3'. w = -1.666666667 Simplifying w = -1.666666667

Subproblem 2

Set the factor '(1 + w)' equal to zero and attempt to solve: Simplifying 1 + w = 0 Solving 1 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + w = 0 + -1 w = 0 + -1 Combine like terms: 0 + -1 = -1 w = -1 Simplifying w = -1

Solution

w = {-1.666666667, -1}

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