10w^2+33w+20=

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Solution for 10w^2+33w+20= equation:


Simplifying
10w2 + 33w + 20 = 0

Reorder the terms:
20 + 33w + 10w2 = 0

Solving
20 + 33w + 10w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(5 + 2w)(4 + 5w) = 0

Subproblem 1

Set the factor '(5 + 2w)' equal to zero and attempt to solve: Simplifying 5 + 2w = 0 Solving 5 + 2w = 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 + 2w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2w = 0 + -5 2w = 0 + -5 Combine like terms: 0 + -5 = -5 2w = -5 Divide each side by '2'. w = -2.5 Simplifying w = -2.5

Subproblem 2

Set the factor '(4 + 5w)' equal to zero and attempt to solve: Simplifying 4 + 5w = 0 Solving 4 + 5w = 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 + 5w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5w = 0 + -4 5w = 0 + -4 Combine like terms: 0 + -4 = -4 5w = -4 Divide each side by '5'. w = -0.8 Simplifying w = -0.8

Solution

w = {-2.5, -0.8}

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