(9-w)(5w+6)=0

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Solution for (9-w)(5w+6)=0 equation:


Simplifying
(9 + -1w)(5w + 6) = 0

Reorder the terms:
(9 + -1w)(6 + 5w) = 0

Multiply (9 + -1w) * (6 + 5w)
(9(6 + 5w) + -1w * (6 + 5w)) = 0
((6 * 9 + 5w * 9) + -1w * (6 + 5w)) = 0
((54 + 45w) + -1w * (6 + 5w)) = 0
(54 + 45w + (6 * -1w + 5w * -1w)) = 0
(54 + 45w + (-6w + -5w2)) = 0

Combine like terms: 45w + -6w = 39w
(54 + 39w + -5w2) = 0

Solving
54 + 39w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(9 + -1w)(6 + 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 '(6 + 5w)' equal to zero and attempt to solve: Simplifying 6 + 5w = 0 Solving 6 + 5w = 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 + 5w = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 5w = 0 + -6 5w = 0 + -6 Combine like terms: 0 + -6 = -6 5w = -6 Divide each side by '5'. w = -1.2 Simplifying w = -1.2

Solution

w = {9, -1.2}

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