(5w+1)(9-w)=0

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Solution for (5w+1)(9-w)=0 equation:


Simplifying
(5w + 1)(9 + -1w) = 0

Reorder the terms:
(1 + 5w)(9 + -1w) = 0

Multiply (1 + 5w) * (9 + -1w)
(1(9 + -1w) + 5w * (9 + -1w)) = 0
((9 * 1 + -1w * 1) + 5w * (9 + -1w)) = 0
((9 + -1w) + 5w * (9 + -1w)) = 0
(9 + -1w + (9 * 5w + -1w * 5w)) = 0
(9 + -1w + (45w + -5w2)) = 0

Combine like terms: -1w + 45w = 44w
(9 + 44w + -5w2) = 0

Solving
9 + 44w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + -1w)(1 + 5w) = 0

Subproblem 1

Set the factor '(9 + -1w)' equal to zero and attempt to solve: Simplifying 9 + -1w = 0 Solving 9 + -1w = 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 + -1w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1w = 0 + -9 -1w = 0 + -9 Combine like terms: 0 + -9 = -9 -1w = -9 Divide each side by '-1'. w = 9 Simplifying w = 9

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 = {9, -0.2}

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