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Simplifying (3w + -7)(9 + -1w) = 0 Reorder the terms: (-7 + 3w)(9 + -1w) = 0 Multiply (-7 + 3w) * (9 + -1w) (-7(9 + -1w) + 3w * (9 + -1w)) = 0 ((9 * -7 + -1w * -7) + 3w * (9 + -1w)) = 0 ((-63 + 7w) + 3w * (9 + -1w)) = 0 (-63 + 7w + (9 * 3w + -1w * 3w)) = 0 (-63 + 7w + (27w + -3w2)) = 0 Combine like terms: 7w + 27w = 34w (-63 + 34w + -3w2) = 0 Solving -63 + 34w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-9 + w)(7 + -3w) = 0Subproblem 1
Set the factor '(-9 + w)' equal to zero and attempt to solve: Simplifying -9 + w = 0 Solving -9 + w = 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 + w = 0 + 9 Combine like terms: -9 + 9 = 0 0 + w = 0 + 9 w = 0 + 9 Combine like terms: 0 + 9 = 9 w = 9 Simplifying w = 9Subproblem 2
Set the factor '(7 + -3w)' equal to zero and attempt to solve: Simplifying 7 + -3w = 0 Solving 7 + -3w = 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 + -3w = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3w = 0 + -7 -3w = 0 + -7 Combine like terms: 0 + -7 = -7 -3w = -7 Divide each side by '-3'. w = 2.333333333 Simplifying w = 2.333333333Solution
w = {9, 2.333333333}
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