(5w+2)(8-w)=0

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Solution for (5w+2)(8-w)=0 equation:


Simplifying
(5w + 2)(8 + -1w) = 0

Reorder the terms:
(2 + 5w)(8 + -1w) = 0

Multiply (2 + 5w) * (8 + -1w)
(2(8 + -1w) + 5w * (8 + -1w)) = 0
((8 * 2 + -1w * 2) + 5w * (8 + -1w)) = 0
((16 + -2w) + 5w * (8 + -1w)) = 0
(16 + -2w + (8 * 5w + -1w * 5w)) = 0
(16 + -2w + (40w + -5w2)) = 0

Combine like terms: -2w + 40w = 38w
(16 + 38w + -5w2) = 0

Solving
16 + 38w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(2 + 5w) = 0

Subproblem 1

Set the factor '(8 + -1w)' equal to zero and attempt to solve: Simplifying 8 + -1w = 0 Solving 8 + -1w = 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 + -1w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1w = 0 + -8 -1w = 0 + -8 Combine like terms: 0 + -8 = -8 -1w = -8 Divide each side by '-1'. w = 8 Simplifying w = 8

Subproblem 2

Set the factor '(2 + 5w)' equal to zero and attempt to solve: Simplifying 2 + 5w = 0 Solving 2 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5w = 0 + -2 5w = 0 + -2 Combine like terms: 0 + -2 = -2 5w = -2 Divide each side by '5'. w = -0.4 Simplifying w = -0.4

Solution

w = {8, -0.4}

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