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Simplifying (3w + -8)(7 + -1w) = 0 Reorder the terms: (-8 + 3w)(7 + -1w) = 0 Multiply (-8 + 3w) * (7 + -1w) (-8(7 + -1w) + 3w * (7 + -1w)) = 0 ((7 * -8 + -1w * -8) + 3w * (7 + -1w)) = 0 ((-56 + 8w) + 3w * (7 + -1w)) = 0 (-56 + 8w + (7 * 3w + -1w * 3w)) = 0 (-56 + 8w + (21w + -3w2)) = 0 Combine like terms: 8w + 21w = 29w (-56 + 29w + -3w2) = 0 Solving -56 + 29w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + w)(8 + -3w) = 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 '(8 + -3w)' equal to zero and attempt to solve: Simplifying 8 + -3w = 0 Solving 8 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3w = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3w = 0 + -8 -3w = 0 + -8 Combine like terms: 0 + -8 = -8 -3w = -8 Divide each side by '-3'. w = 2.666666667 Simplifying w = 2.666666667Solution
w = {7, 2.666666667}
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