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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 = 14w (-8 + 14w + -3w2) = 0 Solving -8 + 14w + -3w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + w)(2 + -3w) = 0Subproblem 1
Set the factor '(-4 + w)' equal to zero and attempt to solve: Simplifying -4 + w = 0 Solving -4 + w = 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 + w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + w = 0 + 4 w = 0 + 4 Combine like terms: 0 + 4 = 4 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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