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Simplifying (W + 5)(3w + 4v + -6) = 0 Reorder the terms: (5 + W)(3w + 4v + -6) = 0 Reorder the terms: (5 + W)(-6 + 4v + 3w) = 0 Multiply (5 + W) * (-6 + 4v + 3w) (5(-6 + 4v + 3w) + W(-6 + 4v + 3w)) = 0 ((-6 * 5 + 4v * 5 + 3w * 5) + W(-6 + 4v + 3w)) = 0 ((-30 + 20v + 15w) + W(-6 + 4v + 3w)) = 0 (-30 + 20v + 15w + (-6 * W + 4v * W + 3w * W)) = 0 (-30 + 20v + 15w + (-6W + 4vW + 3wW)) = 0 Reorder the terms: (-30 + -6W + 20v + 4vW + 15w + 3wW) = 0 (-30 + -6W + 20v + 4vW + 15w + 3wW) = 0 Solving -30 + -6W + 20v + 4vW + 15w + 3wW = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '30' to each side of the equation. -30 + -6W + 20v + 4vW + 15w + 30 + 3wW = 0 + 30 Reorder the terms: -30 + 30 + -6W + 20v + 4vW + 15w + 3wW = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -6W + 20v + 4vW + 15w + 3wW = 0 + 30 -6W + 20v + 4vW + 15w + 3wW = 0 + 30 Combine like terms: 0 + 30 = 30 -6W + 20v + 4vW + 15w + 3wW = 30 Add '-20v' to each side of the equation. -6W + 20v + 4vW + 15w + -20v + 3wW = 30 + -20v Reorder the terms: -6W + 20v + -20v + 4vW + 15w + 3wW = 30 + -20v Combine like terms: 20v + -20v = 0 -6W + 0 + 4vW + 15w + 3wW = 30 + -20v -6W + 4vW + 15w + 3wW = 30 + -20v Add '-15w' to each side of the equation. -6W + 4vW + 15w + -15w + 3wW = 30 + -20v + -15w Combine like terms: 15w + -15w = 0 -6W + 4vW + 0 + 3wW = 30 + -20v + -15w -6W + 4vW + 3wW = 30 + -20v + -15w Reorder the terms: -30 + -6W + 20v + 4vW + 15w + 3wW = 30 + -20v + -15w + -30 + 20v + 15w Reorder the terms: -30 + -6W + 20v + 4vW + 15w + 3wW = 30 + -30 + -20v + 20v + -15w + 15w Combine like terms: 30 + -30 = 0 -30 + -6W + 20v + 4vW + 15w + 3wW = 0 + -20v + 20v + -15w + 15w -30 + -6W + 20v + 4vW + 15w + 3wW = -20v + 20v + -15w + 15w Combine like terms: -20v + 20v = 0 -30 + -6W + 20v + 4vW + 15w + 3wW = 0 + -15w + 15w -30 + -6W + 20v + 4vW + 15w + 3wW = -15w + 15w Combine like terms: -15w + 15w = 0 -30 + -6W + 20v + 4vW + 15w + 3wW = 0 The solution to this equation could not be determined.
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