(11w+7)(11w+7)=

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Solution for (11w+7)(11w+7)= equation:


Simplifying
(11w + 7)(11w + 7) = 0

Reorder the terms:
(7 + 11w)(11w + 7) = 0

Reorder the terms:
(7 + 11w)(7 + 11w) = 0

Multiply (7 + 11w) * (7 + 11w)
(7(7 + 11w) + 11w * (7 + 11w)) = 0
((7 * 7 + 11w * 7) + 11w * (7 + 11w)) = 0
((49 + 77w) + 11w * (7 + 11w)) = 0
(49 + 77w + (7 * 11w + 11w * 11w)) = 0
(49 + 77w + (77w + 121w2)) = 0

Combine like terms: 77w + 77w = 154w
(49 + 154w + 121w2) = 0

Solving
49 + 154w + 121w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(7 + 11w)' equal to zero and attempt to solve: Simplifying 7 + 11w = 0 Solving 7 + 11w = 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 + 11w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11w = 0 + -7 11w = 0 + -7 Combine like terms: 0 + -7 = -7 11w = -7 Divide each side by '11'. w = -0.6363636364 Simplifying w = -0.6363636364

Subproblem 2

Set the factor '(7 + 11w)' equal to zero and attempt to solve: Simplifying 7 + 11w = 0 Solving 7 + 11w = 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 + 11w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 11w = 0 + -7 11w = 0 + -7 Combine like terms: 0 + -7 = -7 11w = -7 Divide each side by '11'. w = -0.6363636364 Simplifying w = -0.6363636364

Solution

w = {-0.6363636364, -0.6363636364}

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