44=(w)(2w-3)

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Solution for 44=(w)(2w-3) equation:


Simplifying
44 = (w)(2w + -3)

Reorder the terms:
44 = w(-3 + 2w)
44 = (-3 * w + 2w * w)
44 = (-3w + 2w2)

Solving
44 = -3w + 2w2

Solving for variable 'w'.

Reorder the terms:
44 + 3w + -2w2 = -3w + 3w + 2w2 + -2w2

Combine like terms: -3w + 3w = 0
44 + 3w + -2w2 = 0 + 2w2 + -2w2
44 + 3w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
44 + 3w + -2w2 = 0

Factor a trinomial.
(11 + -2w)(4 + w) = 0

Subproblem 1

Set the factor '(11 + -2w)' equal to zero and attempt to solve: Simplifying 11 + -2w = 0 Solving 11 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -2w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -2w = 0 + -11 -2w = 0 + -11 Combine like terms: 0 + -11 = -11 -2w = -11 Divide each side by '-2'. w = 5.5 Simplifying w = 5.5

Subproblem 2

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

Solution

w = {5.5, -4}

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