(5w+1)(6+w)=0

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Solution for (5w+1)(6+w)=0 equation:


Simplifying
(5w + 1)(6 + w) = 0

Reorder the terms:
(1 + 5w)(6 + w) = 0

Multiply (1 + 5w) * (6 + w)
(1(6 + w) + 5w * (6 + w)) = 0
((6 * 1 + w * 1) + 5w * (6 + w)) = 0
((6 + 1w) + 5w * (6 + w)) = 0
(6 + 1w + (6 * 5w + w * 5w)) = 0
(6 + 1w + (30w + 5w2)) = 0

Combine like terms: 1w + 30w = 31w
(6 + 31w + 5w2) = 0

Solving
6 + 31w + 5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(6 + w)(1 + 5w) = 0

Subproblem 1

Set the factor '(6 + w)' equal to zero and attempt to solve: Simplifying 6 + w = 0 Solving 6 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + w = 0 + -6 w = 0 + -6 Combine like terms: 0 + -6 = -6 w = -6 Simplifying w = -6

Subproblem 2

Set the factor '(1 + 5w)' equal to zero and attempt to solve: Simplifying 1 + 5w = 0 Solving 1 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5w = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5w = 0 + -1 5w = 0 + -1 Combine like terms: 0 + -1 = -1 5w = -1 Divide each side by '5'. w = -0.2 Simplifying w = -0.2

Solution

w = {-6, -0.2}

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