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Simplifying w2 + 14w + -1395 = 0 Reorder the terms: -1395 + 14w + w2 = 0 Solving -1395 + 14w + w2 = 0 Solving for variable 'w'. Factor a trinomial. (-45 + -1w)(31 + -1w) = 0Subproblem 1
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 = -45Subproblem 2
Set the factor '(31 + -1w)' equal to zero and attempt to solve: Simplifying 31 + -1w = 0 Solving 31 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1w = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1w = 0 + -31 -1w = 0 + -31 Combine like terms: 0 + -31 = -31 -1w = -31 Divide each side by '-1'. w = 31 Simplifying w = 31Solution
w = {-45, 31}
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