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Simplifying (3w + -2)(8 + -1w) = 0 Reorder the terms: (-2 + 3w)(8 + -1w) = 0 Multiply (-2 + 3w) * (8 + -1w) (-2(8 + -1w) + 3w * (8 + -1w)) = 0 ((8 * -2 + -1w * -2) + 3w * (8 + -1w)) = 0 ((-16 + 2w) + 3w * (8 + -1w)) = 0 (-16 + 2w + (8 * 3w + -1w * 3w)) = 0 (-16 + 2w + (24w + -3w2)) = 0 Combine like terms: 2w + 24w = 26w (-16 + 26w + -3w2) = 0 Solving -16 + 26w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-8 + w)(2 + -3w) = 0Subproblem 1
Set the factor '(-8 + w)' equal to zero and attempt to solve: Simplifying -8 + w = 0 Solving -8 + w = 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 + w = 0 + 8 Combine like terms: -8 + 8 = 0 0 + w = 0 + 8 w = 0 + 8 Combine like terms: 0 + 8 = 8 w = 8 Simplifying w = 8Subproblem 2
Set the factor '(2 + -3w)' equal to zero and attempt to solve: Simplifying 2 + -3w = 0 Solving 2 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3w = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3w = 0 + -2 -3w = 0 + -2 Combine like terms: 0 + -2 = -2 -3w = -2 Divide each side by '-3'. w = 0.6666666667 Simplifying w = 0.6666666667Solution
w = {8, 0.6666666667}
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