w^2+18w+77=

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Solution for w^2+18w+77= equation:


Simplifying
w2 + 18w + 77 = 0

Reorder the terms:
77 + 18w + w2 = 0

Solving
77 + 18w + w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(11 + w)(7 + w) = 0

Subproblem 1

Set the factor '(11 + w)' equal to zero and attempt to solve: Simplifying 11 + w = 0 Solving 11 + w = 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 + w = 0 + -11 Combine like terms: 11 + -11 = 0 0 + w = 0 + -11 w = 0 + -11 Combine like terms: 0 + -11 = -11 w = -11 Simplifying w = -11

Subproblem 2

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

Solution

w = {-11, -7}

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