(8-w)(5w-1)=0

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Solution for (8-w)(5w-1)=0 equation:


Simplifying
(8 + -1w)(5w + -1) = 0

Reorder the terms:
(8 + -1w)(-1 + 5w) = 0

Multiply (8 + -1w) * (-1 + 5w)
(8(-1 + 5w) + -1w * (-1 + 5w)) = 0
((-1 * 8 + 5w * 8) + -1w * (-1 + 5w)) = 0
((-8 + 40w) + -1w * (-1 + 5w)) = 0
(-8 + 40w + (-1 * -1w + 5w * -1w)) = 0
(-8 + 40w + (1w + -5w2)) = 0

Combine like terms: 40w + 1w = 41w
(-8 + 41w + -5w2) = 0

Solving
-8 + 41w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(-8 + w)(1 + -5w) = 0

Subproblem 1

Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8

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 = {8, 0.2}

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