19w^2-25w-44=0

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Solution for 19w^2-25w-44=0 equation:


Simplifying
19w2 + -25w + -44 = 0

Reorder the terms:
-44 + -25w + 19w2 = 0

Solving
-44 + -25w + 19w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-1 + -1w)(44 + -19w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(44 + -19w)' equal to zero and attempt to solve: Simplifying 44 + -19w = 0 Solving 44 + -19w = 0 Move all terms containing w to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -19w = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -19w = 0 + -44 -19w = 0 + -44 Combine like terms: 0 + -44 = -44 -19w = -44 Divide each side by '-19'. w = 2.315789474 Simplifying w = 2.315789474

Solution

w = {-1, 2.315789474}

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