(4w-1)w=39

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Solution for (4w-1)w=39 equation:


Simplifying
(4w + -1) * w = 39

Reorder the terms:
(-1 + 4w) * w = 39

Reorder the terms for easier multiplication:
w(-1 + 4w) = 39
(-1 * w + 4w * w) = 39
(-1w + 4w2) = 39

Solving
-1w + 4w2 = 39

Solving for variable 'w'.

Reorder the terms:
-39 + -1w + 4w2 = 39 + -39

Combine like terms: 39 + -39 = 0
-39 + -1w + 4w2 = 0

Factor a trinomial.
(-3 + -1w)(13 + -4w) = 0

Subproblem 1

Set the factor '(-3 + -1w)' equal to zero and attempt to solve: Simplifying -3 + -1w = 0 Solving -3 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1w = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1w = 0 + 3 -1w = 0 + 3 Combine like terms: 0 + 3 = 3 -1w = 3 Divide each side by '-1'. w = -3 Simplifying w = -3

Subproblem 2

Set the factor '(13 + -4w)' equal to zero and attempt to solve: Simplifying 13 + -4w = 0 Solving 13 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -4w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -4w = 0 + -13 -4w = 0 + -13 Combine like terms: 0 + -13 = -13 -4w = -13 Divide each side by '-4'. w = 3.25 Simplifying w = 3.25

Solution

w = {-3, 3.25}

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