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Simplifying (3w + -1)(x + 2) = 0 Reorder the terms: (-1 + 3w)(x + 2) = 0 Reorder the terms: (-1 + 3w)(2 + x) = 0 Multiply (-1 + 3w) * (2 + x) (-1(2 + x) + 3w * (2 + x)) = 0 ((2 * -1 + x * -1) + 3w * (2 + x)) = 0 ((-2 + -1x) + 3w * (2 + x)) = 0 (-2 + -1x + (2 * 3w + x * 3w)) = 0 (-2 + -1x + (6w + 3wx)) = 0 Reorder the terms: (-2 + 6w + 3wx + -1x) = 0 (-2 + 6w + 3wx + -1x) = 0 Solving -2 + 6w + 3wx + -1x = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 6w + 3wx + 2 + -1x = 0 + 2 Reorder the terms: -2 + 2 + 6w + 3wx + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 6w + 3wx + -1x = 0 + 2 6w + 3wx + -1x = 0 + 2 Combine like terms: 0 + 2 = 2 6w + 3wx + -1x = 2 Add 'x' to each side of the equation. 6w + 3wx + -1x + x = 2 + x Combine like terms: -1x + x = 0 6w + 3wx + 0 = 2 + x 6w + 3wx = 2 + x Reorder the terms: -2 + 6w + 3wx + -1x = 2 + x + -2 + -1x Reorder the terms: -2 + 6w + 3wx + -1x = 2 + -2 + x + -1x Combine like terms: 2 + -2 = 0 -2 + 6w + 3wx + -1x = 0 + x + -1x -2 + 6w + 3wx + -1x = x + -1x Combine like terms: x + -1x = 0 -2 + 6w + 3wx + -1x = 0 The solution to this equation could not be determined.
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