8w^2+33w+4=0

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Solution for 8w^2+33w+4=0 equation:


Simplifying
8w2 + 33w + 4 = 0

Reorder the terms:
4 + 33w + 8w2 = 0

Solving
4 + 33w + 8w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + w)(1 + 8w) = 0

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 '(1 + 8w)' equal to zero and attempt to solve: Simplifying 1 + 8w = 0 Solving 1 + 8w = 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 + 8w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8w = 0 + -1 8w = 0 + -1 Combine like terms: 0 + -1 = -1 8w = -1 Divide each side by '8'. w = -0.125 Simplifying w = -0.125

Solution

w = {-4, -0.125}

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