(5W-6)(5-W)=0

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Solution for (5W-6)(5-W)=0 equation:


Simplifying
(5W + -6)(5 + -1W) = 0

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

Multiply (-6 + 5W) * (5 + -1W)
(-6(5 + -1W) + 5W * (5 + -1W)) = 0
((5 * -6 + -1W * -6) + 5W * (5 + -1W)) = 0
((-30 + 6W) + 5W * (5 + -1W)) = 0
(-30 + 6W + (5 * 5W + -1W * 5W)) = 0
(-30 + 6W + (25W + -5W2)) = 0

Combine like terms: 6W + 25W = 31W
(-30 + 31W + -5W2) = 0

Solving
-30 + 31W + -5W2 = 0

Solving for variable 'W'.

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

Subproblem 1

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

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 = {5, 1.2}

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