(5w+3)(8-w)=

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Solution for (5w+3)(8-w)= equation:


Simplifying
(5w + 3)(8 + -1w) = 0

Reorder the terms:
(3 + 5w)(8 + -1w) = 0

Multiply (3 + 5w) * (8 + -1w)
(3(8 + -1w) + 5w * (8 + -1w)) = 0
((8 * 3 + -1w * 3) + 5w * (8 + -1w)) = 0
((24 + -3w) + 5w * (8 + -1w)) = 0
(24 + -3w + (8 * 5w + -1w * 5w)) = 0
(24 + -3w + (40w + -5w2)) = 0

Combine like terms: -3w + 40w = 37w
(24 + 37w + -5w2) = 0

Solving
24 + 37w + -5w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(8 + -1w)(3 + 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 '(3 + 5w)' equal to zero and attempt to solve: Simplifying 3 + 5w = 0 Solving 3 + 5w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5w = 0 + -3 5w = 0 + -3 Combine like terms: 0 + -3 = -3 5w = -3 Divide each side by '5'. w = -0.6 Simplifying w = -0.6

Solution

w = {8, -0.6}

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