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Simplifying 8x3 + -27 = (2v + -3)(4v2 + 6v + 9) Reorder the terms: -27 + 8x3 = (2v + -3)(4v2 + 6v + 9) Reorder the terms: -27 + 8x3 = (-3 + 2v)(4v2 + 6v + 9) Reorder the terms: -27 + 8x3 = (-3 + 2v)(9 + 6v + 4v2) Multiply (-3 + 2v) * (9 + 6v + 4v2) -27 + 8x3 = (-3(9 + 6v + 4v2) + 2v * (9 + 6v + 4v2)) -27 + 8x3 = ((9 * -3 + 6v * -3 + 4v2 * -3) + 2v * (9 + 6v + 4v2)) -27 + 8x3 = ((-27 + -18v + -12v2) + 2v * (9 + 6v + 4v2)) -27 + 8x3 = (-27 + -18v + -12v2 + (9 * 2v + 6v * 2v + 4v2 * 2v)) -27 + 8x3 = (-27 + -18v + -12v2 + (18v + 12v2 + 8v3)) Reorder the terms: -27 + 8x3 = (-27 + -18v + 18v + -12v2 + 12v2 + 8v3) Combine like terms: -18v + 18v = 0 -27 + 8x3 = (-27 + 0 + -12v2 + 12v2 + 8v3) -27 + 8x3 = (-27 + -12v2 + 12v2 + 8v3) Combine like terms: -12v2 + 12v2 = 0 -27 + 8x3 = (-27 + 0 + 8v3) -27 + 8x3 = (-27 + 8v3) Add '27' to each side of the equation. -27 + 27 + 8x3 = -27 + 27 + 8v3 Combine like terms: -27 + 27 = 0 0 + 8x3 = -27 + 27 + 8v3 8x3 = -27 + 27 + 8v3 Combine like terms: -27 + 27 = 0 8x3 = 0 + 8v3 8x3 = 8v3 Solving 8x3 = 8v3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '8'. x3 = v3 Simplifying x3 = v3 Reorder the terms: -1v3 + x3 = v3 + -1v3 Combine like terms: v3 + -1v3 = 0 -1v3 + x3 = 0 The solution to this equation could not be determined.
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