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Simplifying (4 + -1w)(3w + 2) = 0 Reorder the terms: (4 + -1w)(2 + 3w) = 0 Multiply (4 + -1w) * (2 + 3w) (4(2 + 3w) + -1w * (2 + 3w)) = 0 ((2 * 4 + 3w * 4) + -1w * (2 + 3w)) = 0 ((8 + 12w) + -1w * (2 + 3w)) = 0 (8 + 12w + (2 * -1w + 3w * -1w)) = 0 (8 + 12w + (-2w + -3w2)) = 0 Combine like terms: 12w + -2w = 10w (8 + 10w + -3w2) = 0 Solving 8 + 10w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (4 + -1w)(2 + 3w) = 0Subproblem 1
Set the factor '(4 + -1w)' equal to zero and attempt to solve: Simplifying 4 + -1w = 0 Solving 4 + -1w = 0 Move all terms containing w to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1w = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1w = 0 + -4 -1w = 0 + -4 Combine like terms: 0 + -4 = -4 -1w = -4 Divide each side by '-1'. w = 4 Simplifying w = 4Subproblem 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 = {4, -0.6666666667}
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