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

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


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

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

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

Multiply (2 + 5w) * (5 + 8w)
(2(5 + 8w) + 5w * (5 + 8w)) = 0
((5 * 2 + 8w * 2) + 5w * (5 + 8w)) = 0
((10 + 16w) + 5w * (5 + 8w)) = 0
(10 + 16w + (5 * 5w + 8w * 5w)) = 0
(10 + 16w + (25w + 40w2)) = 0

Combine like terms: 16w + 25w = 41w
(10 + 41w + 40w2) = 0

Solving
10 + 41w + 40w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(5 + 8w)' equal to zero and attempt to solve: Simplifying 5 + 8w = 0 Solving 5 + 8w = 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 + 8w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8w = 0 + -5 8w = 0 + -5 Combine like terms: 0 + -5 = -5 8w = -5 Divide each side by '8'. w = -0.625 Simplifying w = -0.625

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 = {-0.625, -0.4}

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