99=w(7+2w)

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Solution for 99=w(7+2w) equation:


Simplifying
99 = w(7 + 2w)
99 = (7 * w + 2w * w)
99 = (7w + 2w2)

Solving
99 = 7w + 2w2

Solving for variable 'w'.

Reorder the terms:
99 + -7w + -2w2 = 7w + -7w + 2w2 + -2w2

Combine like terms: 7w + -7w = 0
99 + -7w + -2w2 = 0 + 2w2 + -2w2
99 + -7w + -2w2 = 2w2 + -2w2

Combine like terms: 2w2 + -2w2 = 0
99 + -7w + -2w2 = 0

Factor a trinomial.
(11 + -2w)(9 + 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 '(9 + w)' equal to zero and attempt to solve: Simplifying 9 + w = 0 Solving 9 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + w = 0 + -9 w = 0 + -9 Combine like terms: 0 + -9 = -9 w = -9 Simplifying w = -9

Solution

w = {5.5, -9}

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