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Simplifying (4w + 5)(4w + 5) = 0 Reorder the terms: (5 + 4w)(4w + 5) = 0 Reorder the terms: (5 + 4w)(5 + 4w) = 0 Multiply (5 + 4w) * (5 + 4w) (5(5 + 4w) + 4w * (5 + 4w)) = 0 ((5 * 5 + 4w * 5) + 4w * (5 + 4w)) = 0 ((25 + 20w) + 4w * (5 + 4w)) = 0 (25 + 20w + (5 * 4w + 4w * 4w)) = 0 (25 + 20w + (20w + 16w2)) = 0 Combine like terms: 20w + 20w = 40w (25 + 40w + 16w2) = 0 Solving 25 + 40w + 16w2 = 0 Solving for variable 'w'. Factor a trinomial. (5 + 4w)(5 + 4w) = 0Subproblem 1
Set the factor '(5 + 4w)' equal to zero and attempt to solve: Simplifying 5 + 4w = 0 Solving 5 + 4w = 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 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25Subproblem 2
Set the factor '(5 + 4w)' equal to zero and attempt to solve: Simplifying 5 + 4w = 0 Solving 5 + 4w = 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 + 4w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4w = 0 + -5 4w = 0 + -5 Combine like terms: 0 + -5 = -5 4w = -5 Divide each side by '4'. w = -1.25 Simplifying w = -1.25Solution
w = {-1.25, -1.25}
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