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

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


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

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

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

Combine like terms: 6w + 45w = 51w
(-54 + 51w + -5w2) = 0

Solving
-54 + 51w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-9 + w)(6 + -5w) = 0

Subproblem 1

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