14=w(w-5)

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Solution for 14=w(w-5) equation:


Simplifying
14 = w(w + -5)

Reorder the terms:
14 = w(-5 + w)
14 = (-5 * w + w * w)
14 = (-5w + w2)

Solving
14 = -5w + w2

Solving for variable 'w'.

Reorder the terms:
14 + 5w + -1w2 = -5w + 5w + w2 + -1w2

Combine like terms: -5w + 5w = 0
14 + 5w + -1w2 = 0 + w2 + -1w2
14 + 5w + -1w2 = w2 + -1w2

Combine like terms: w2 + -1w2 = 0
14 + 5w + -1w2 = 0

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

Subproblem 1

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

Subproblem 2

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

Solution

w = {7, -2}

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