(7+W)(5W+1)=0

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Solution for (7+W)(5W+1)=0 equation:


Simplifying
(7 + W)(5W + 1) = 0

Reorder the terms:
(7 + W)(1 + 5W) = 0

Multiply (7 + W) * (1 + 5W)
(7(1 + 5W) + W(1 + 5W)) = 0
((1 * 7 + 5W * 7) + W(1 + 5W)) = 0
((7 + 35W) + W(1 + 5W)) = 0
(7 + 35W + (1 * W + 5W * W)) = 0
(7 + 35W + (1W + 5W2)) = 0

Combine like terms: 35W + 1W = 36W
(7 + 36W + 5W2) = 0

Solving
7 + 36W + 5W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(7 + W)(1 + 5W) = 0

Subproblem 1

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

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 = {-7, -0.2}

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