190=2w^2-1w

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Solution for 190=2w^2-1w equation:


Simplifying
190 = 2w2 + -1w

Reorder the terms:
190 = -1w + 2w2

Solving
190 = -1w + 2w2

Solving for variable 'w'.

Reorder the terms:
190 + w + -2w2 = -1w + w + 2w2 + -2w2

Combine like terms: -1w + w = 0
190 + w + -2w2 = 0 + 2w2 + -2w2
190 + w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
190 + w + -2w2 = 0

Factor a trinomial.
(10 + -1w)(19 + 2w) = 0

Subproblem 1

Set the factor '(10 + -1w)' equal to zero and attempt to solve: Simplifying 10 + -1w = 0 Solving 10 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1w = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1w = 0 + -10 -1w = 0 + -10 Combine like terms: 0 + -10 = -10 -1w = -10 Divide each side by '-1'. w = 10 Simplifying w = 10

Subproblem 2

Set the factor '(19 + 2w)' equal to zero and attempt to solve: Simplifying 19 + 2w = 0 Solving 19 + 2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + 2w = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 2w = 0 + -19 2w = 0 + -19 Combine like terms: 0 + -19 = -19 2w = -19 Divide each side by '2'. w = -9.5 Simplifying w = -9.5

Solution

w = {10, -9.5}

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