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Simplifying 4368 = 24(w)(1 + w) 4368 = (1 * 24w + w * 24w) 4368 = (24w + 24w2) Solving 4368 = 24w + 24w2 Solving for variable 'w'. Reorder the terms: 4368 + -24w + -24w2 = 24w + -24w + 24w2 + -24w2 Combine like terms: 24w + -24w = 0 4368 + -24w + -24w2 = 0 + 24w2 + -24w2 4368 + -24w + -24w2 = 24w2 + -24w2 Combine like terms: 24w2 + -24w2 = 0 4368 + -24w + -24w2 = 0 Factor out the Greatest Common Factor (GCF), '24'. 24(182 + -1w + -1w2) = 0 Factor a trinomial. 24((13 + -1w)(14 + w)) = 0 Ignore the factor 24.Subproblem 1
Set the factor '(13 + -1w)' equal to zero and attempt to solve: Simplifying 13 + -1w = 0 Solving 13 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1w = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1w = 0 + -13 -1w = 0 + -13 Combine like terms: 0 + -13 = -13 -1w = -13 Divide each side by '-1'. w = 13 Simplifying w = 13Subproblem 2
Set the factor '(14 + w)' equal to zero and attempt to solve: Simplifying 14 + w = 0 Solving 14 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + w = 0 + -14 Combine like terms: 14 + -14 = 0 0 + w = 0 + -14 w = 0 + -14 Combine like terms: 0 + -14 = -14 w = -14 Simplifying w = -14Solution
w = {13, -14}
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