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Simplifying (4w + -3)(4 + -1w) = 0 Reorder the terms: (-3 + 4w)(4 + -1w) = 0 Multiply (-3 + 4w) * (4 + -1w) (-3(4 + -1w) + 4w * (4 + -1w)) = 0 ((4 * -3 + -1w * -3) + 4w * (4 + -1w)) = 0 ((-12 + 3w) + 4w * (4 + -1w)) = 0 (-12 + 3w + (4 * 4w + -1w * 4w)) = 0 (-12 + 3w + (16w + -4w2)) = 0 Combine like terms: 3w + 16w = 19w (-12 + 19w + -4w2) = 0 Solving -12 + 19w + -4w2 = 0 Solving for variable 'w'. Factor a trinomial. (-4 + w)(3 + -4w) = 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 '(3 + -4w)' equal to zero and attempt to solve: Simplifying 3 + -4w = 0 Solving 3 + -4w = 0 Move all terms containing w to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4w = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4w = 0 + -3 -4w = 0 + -3 Combine like terms: 0 + -3 = -3 -4w = -3 Divide each side by '-4'. w = 0.75 Simplifying w = 0.75Solution
w = {4, 0.75}
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