(1-w)(5+4w)=0

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Solution for (1-w)(5+4w)=0 equation:


Simplifying
(1 + -1w)(5 + 4w) = 0

Multiply (1 + -1w) * (5 + 4w)
(1(5 + 4w) + -1w * (5 + 4w)) = 0
((5 * 1 + 4w * 1) + -1w * (5 + 4w)) = 0
((5 + 4w) + -1w * (5 + 4w)) = 0
(5 + 4w + (5 * -1w + 4w * -1w)) = 0
(5 + 4w + (-5w + -4w2)) = 0

Combine like terms: 4w + -5w = -1w
(5 + -1w + -4w2) = 0

Solving
5 + -1w + -4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(1 + -1w)(5 + 4w) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 4w)' equal to zero and attempt to solve: Simplifying 5 + 4w = 0 Solving 5 + 4w = 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 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25

Solution

w = {1, -1.25}

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