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Simplifying (w + 40)(w + -45) = 0 Reorder the terms: (40 + w)(w + -45) = 0 Reorder the terms: (40 + w)(-45 + w) = 0 Multiply (40 + w) * (-45 + w) (40(-45 + w) + w(-45 + w)) = 0 ((-45 * 40 + w * 40) + w(-45 + w)) = 0 ((-1800 + 40w) + w(-45 + w)) = 0 (-1800 + 40w + (-45 * w + w * w)) = 0 (-1800 + 40w + (-45w + w2)) = 0 Combine like terms: 40w + -45w = -5w (-1800 + -5w + w2) = 0 Solving -1800 + -5w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-40 + -1w)(45 + -1w) = 0Subproblem 1
Set the factor '(-40 + -1w)' equal to zero and attempt to solve: Simplifying -40 + -1w = 0 Solving -40 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1w = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1w = 0 + 40 -1w = 0 + 40 Combine like terms: 0 + 40 = 40 -1w = 40 Divide each side by '-1'. w = -40 Simplifying w = -40Subproblem 2
Set the factor '(45 + -1w)' equal to zero and attempt to solve: Simplifying 45 + -1w = 0 Solving 45 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1w = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1w = 0 + -45 -1w = 0 + -45 Combine like terms: 0 + -45 = -45 -1w = -45 Divide each side by '-1'. w = 45 Simplifying w = 45Solution
w = {-40, 45}
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