4w^2+23w+28=0

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Solution for 4w^2+23w+28=0 equation:


Simplifying
4w2 + 23w + 28 = 0

Reorder the terms:
28 + 23w + 4w2 = 0

Solving
28 + 23w + 4w2 = 0

Solving for variable 'w'.

Factor a trinomial.
(4 + w)(7 + 4w) = 0

Subproblem 1

Set the factor '(4 + w)' equal to zero and attempt to solve: Simplifying 4 + w = 0 Solving 4 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + w = 0 + -4 w = 0 + -4 Combine like terms: 0 + -4 = -4 w = -4 Simplifying w = -4

Subproblem 2

Set the factor '(7 + 4w)' equal to zero and attempt to solve: Simplifying 7 + 4w = 0 Solving 7 + 4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4w = 0 + -7 4w = 0 + -7 Combine like terms: 0 + -7 = -7 4w = -7 Divide each side by '4'. w = -1.75 Simplifying w = -1.75

Solution

w = {-4, -1.75}

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