(3w-5)w-28=0

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Solution for (3w-5)w-28=0 equation:


Simplifying
(3w + -5) * w + -28 = 0

Reorder the terms:
(-5 + 3w) * w + -28 = 0

Reorder the terms for easier multiplication:
w(-5 + 3w) + -28 = 0
(-5 * w + 3w * w) + -28 = 0
(-5w + 3w2) + -28 = 0

Reorder the terms:
-28 + -5w + 3w2 = 0

Solving
-28 + -5w + 3w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-7 + -3w)(4 + -1w) = 0

Subproblem 1

Set the factor '(-7 + -3w)' equal to zero and attempt to solve: Simplifying -7 + -3w = 0 Solving -7 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 0 + 7 -3w = 0 + 7 Combine like terms: 0 + 7 = 7 -3w = 7 Divide each side by '-3'. w = -2.333333333 Simplifying w = -2.333333333

Subproblem 2

Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 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 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4

Solution

w = {-2.333333333, 4}

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