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Simplifying -1w2 = 49 + -14w Solving -1w2 = 49 + -14w Solving for variable 'w'. Reorder the terms: -49 + 14w + -1w2 = 49 + -14w + -49 + 14w Reorder the terms: -49 + 14w + -1w2 = 49 + -49 + -14w + 14w Combine like terms: 49 + -49 = 0 -49 + 14w + -1w2 = 0 + -14w + 14w -49 + 14w + -1w2 = -14w + 14w Combine like terms: -14w + 14w = 0 -49 + 14w + -1w2 = 0 Factor a trinomial. (-7 + w)(7 + -1w) = 0Subproblem 1
Set the factor '(-7 + w)' equal to zero and attempt to solve: Simplifying -7 + w = 0 Solving -7 + w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + w = 0 + 7 w = 0 + 7 Combine like terms: 0 + 7 = 7 w = 7 Simplifying w = 7Subproblem 2
Set the factor '(7 + -1w)' equal to zero and attempt to solve: Simplifying 7 + -1w = 0 Solving 7 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1w = 0 + -7 -1w = 0 + -7 Combine like terms: 0 + -7 = -7 -1w = -7 Divide each side by '-1'. w = 7 Simplifying w = 7Solution
w = {7, 7}
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