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Simplifying (7 + w)(2w + -9) = 0 Reorder the terms: (7 + w)(-9 + 2w) = 0 Multiply (7 + w) * (-9 + 2w) (7(-9 + 2w) + w(-9 + 2w)) = 0 ((-9 * 7 + 2w * 7) + w(-9 + 2w)) = 0 ((-63 + 14w) + w(-9 + 2w)) = 0 (-63 + 14w + (-9 * w + 2w * w)) = 0 (-63 + 14w + (-9w + 2w2)) = 0 Combine like terms: 14w + -9w = 5w (-63 + 5w + 2w2) = 0 Solving -63 + 5w + 2w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -1w)(9 + -2w) = 0Subproblem 1
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 = -7Subproblem 2
Set the factor '(9 + -2w)' equal to zero and attempt to solve: Simplifying 9 + -2w = 0 Solving 9 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2w = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2w = 0 + -9 -2w = 0 + -9 Combine like terms: 0 + -9 = -9 -2w = -9 Divide each side by '-2'. w = 4.5 Simplifying w = 4.5Solution
w = {-7, 4.5}
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