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Simplifying (4w2 + -3w + -9) + -1(2w2 + -2w + -1) + (8W2 + -2w + -2) = 0 Reorder the terms: (-9 + -3w + 4w2) + -1(2w2 + -2w + -1) + (8W2 + -2w + -2) = 0 Remove parenthesis around (-9 + -3w + 4w2) -9 + -3w + 4w2 + -1(2w2 + -2w + -1) + (8W2 + -2w + -2) = 0 Reorder the terms: -9 + -3w + 4w2 + -1(-1 + -2w + 2w2) + (8W2 + -2w + -2) = 0 -9 + -3w + 4w2 + (-1 * -1 + -2w * -1 + 2w2 * -1) + (8W2 + -2w + -2) = 0 -9 + -3w + 4w2 + (1 + 2w + -2w2) + (8W2 + -2w + -2) = 0 Reorder the terms: -9 + -3w + 4w2 + 1 + 2w + -2w2 + (-2 + 8W2 + -2w) = 0 Remove parenthesis around (-2 + 8W2 + -2w) -9 + -3w + 4w2 + 1 + 2w + -2w2 + -2 + 8W2 + -2w = 0 Reorder the terms: -9 + 1 + -2 + 8W2 + -3w + 2w + -2w + 4w2 + -2w2 = 0 Combine like terms: -9 + 1 = -8 -8 + -2 + 8W2 + -3w + 2w + -2w + 4w2 + -2w2 = 0 Combine like terms: -8 + -2 = -10 -10 + 8W2 + -3w + 2w + -2w + 4w2 + -2w2 = 0 Combine like terms: -3w + 2w = -1w -10 + 8W2 + -1w + -2w + 4w2 + -2w2 = 0 Combine like terms: -1w + -2w = -3w -10 + 8W2 + -3w + 4w2 + -2w2 = 0 Combine like terms: 4w2 + -2w2 = 2w2 -10 + 8W2 + -3w + 2w2 = 0 Solving -10 + 8W2 + -3w + 2w2 = 0 Solving for variable 'W'. Move all terms containing W to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 8W2 + -3w + 10 + 2w2 = 0 + 10 Reorder the terms: -10 + 10 + 8W2 + -3w + 2w2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8W2 + -3w + 2w2 = 0 + 10 8W2 + -3w + 2w2 = 0 + 10 Combine like terms: 0 + 10 = 10 8W2 + -3w + 2w2 = 10 Add '3w' to each side of the equation. 8W2 + -3w + 3w + 2w2 = 10 + 3w Combine like terms: -3w + 3w = 0 8W2 + 0 + 2w2 = 10 + 3w 8W2 + 2w2 = 10 + 3w Add '-2w2' to each side of the equation. 8W2 + 2w2 + -2w2 = 10 + 3w + -2w2 Combine like terms: 2w2 + -2w2 = 0 8W2 + 0 = 10 + 3w + -2w2 8W2 = 10 + 3w + -2w2 Divide each side by '8'. W2 = 1.25 + 0.375w + -0.25w2 Simplifying W2 = 1.25 + 0.375w + -0.25w2 Reorder the terms: -1.25 + W2 + -0.375w + 0.25w2 = 1.25 + 0.375w + -0.25w2 + -1.25 + -0.375w + 0.25w2 Reorder the terms: -1.25 + W2 + -0.375w + 0.25w2 = 1.25 + -1.25 + 0.375w + -0.375w + -0.25w2 + 0.25w2 Combine like terms: 1.25 + -1.25 = 0.00 -1.25 + W2 + -0.375w + 0.25w2 = 0.00 + 0.375w + -0.375w + -0.25w2 + 0.25w2 -1.25 + W2 + -0.375w + 0.25w2 = 0.375w + -0.375w + -0.25w2 + 0.25w2 Combine like terms: 0.375w + -0.375w = 0.000 -1.25 + W2 + -0.375w + 0.25w2 = 0.000 + -0.25w2 + 0.25w2 -1.25 + W2 + -0.375w + 0.25w2 = -0.25w2 + 0.25w2 Combine like terms: -0.25w2 + 0.25w2 = 0.00 -1.25 + W2 + -0.375w + 0.25w2 = 0.00 The solution to this equation could not be determined.
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