(5w+2)(w+3)=0

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Solution for (5w+2)(w+3)=0 equation:


Simplifying
(5w + 2)(w + 3) = 0

Reorder the terms:
(2 + 5w)(w + 3) = 0

Reorder the terms:
(2 + 5w)(3 + w) = 0

Multiply (2 + 5w) * (3 + w)
(2(3 + w) + 5w * (3 + w)) = 0
((3 * 2 + w * 2) + 5w * (3 + w)) = 0
((6 + 2w) + 5w * (3 + w)) = 0
(6 + 2w + (3 * 5w + w * 5w)) = 0
(6 + 2w + (15w + 5w2)) = 0

Combine like terms: 2w + 15w = 17w
(6 + 17w + 5w2) = 0

Solving
6 + 17w + 5w2 = 0

Solving for variable 'w'.

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

Subproblem 1

Set the factor '(3 + w)' equal to zero and attempt to solve: Simplifying 3 + w = 0 Solving 3 + w = 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 + w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + w = 0 + -3 w = 0 + -3 Combine like terms: 0 + -3 = -3 w = -3 Simplifying w = -3

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 = {-3, -0.4}

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