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Simplifying (w + 24)(w + -30) = 0 Reorder the terms: (24 + w)(w + -30) = 0 Reorder the terms: (24 + w)(-30 + w) = 0 Multiply (24 + w) * (-30 + w) (24(-30 + w) + w(-30 + w)) = 0 ((-30 * 24 + w * 24) + w(-30 + w)) = 0 ((-720 + 24w) + w(-30 + w)) = 0 (-720 + 24w + (-30 * w + w * w)) = 0 (-720 + 24w + (-30w + w2)) = 0 Combine like terms: 24w + -30w = -6w (-720 + -6w + w2) = 0 Solving -720 + -6w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-24 + -1w)(30 + -1w) = 0Subproblem 1
Set the factor '(-24 + -1w)' equal to zero and attempt to solve: Simplifying -24 + -1w = 0 Solving -24 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1w = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1w = 0 + 24 -1w = 0 + 24 Combine like terms: 0 + 24 = 24 -1w = 24 Divide each side by '-1'. w = -24 Simplifying w = -24Subproblem 2
Set the factor '(30 + -1w)' equal to zero and attempt to solve: Simplifying 30 + -1w = 0 Solving 30 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -1w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -1w = 0 + -30 -1w = 0 + -30 Combine like terms: 0 + -30 = -30 -1w = -30 Divide each side by '-1'. w = 30 Simplifying w = 30Solution
w = {-24, 30}
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