(w)(2w-1)=91

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Solution for (w)(2w-1)=91 equation:


Simplifying
(w)(2w + -1) = 91

Reorder the terms:
w(-1 + 2w) = 91
(-1 * w + 2w * w) = 91
(-1w + 2w2) = 91

Solving
-1w + 2w2 = 91

Solving for variable 'w'.

Reorder the terms:
-91 + -1w + 2w2 = 91 + -91

Combine like terms: 91 + -91 = 0
-91 + -1w + 2w2 = 0

Factor a trinomial.
(-13 + -2w)(7 + -1w) = 0

Subproblem 1

Set the factor '(-13 + -2w)' equal to zero and attempt to solve: Simplifying -13 + -2w = 0 Solving -13 + -2w = 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 + -2w = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -2w = 0 + 13 -2w = 0 + 13 Combine like terms: 0 + 13 = 13 -2w = 13 Divide each side by '-2'. w = -6.5 Simplifying w = -6.5

Subproblem 2

Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 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 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7

Solution

w = {-6.5, 7}

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