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Simplifying x(x + 2)(x + 4) = 280(3x + 6) Reorder the terms: x(2 + x)(x + 4) = 280(3x + 6) Reorder the terms: x(2 + x)(4 + x) = 280(3x + 6) Multiply (2 + x) * (4 + x) x(2(4 + x) + x(4 + x)) = 280(3x + 6) x((4 * 2 + x * 2) + x(4 + x)) = 280(3x + 6) x((8 + 2x) + x(4 + x)) = 280(3x + 6) x(8 + 2x + (4 * x + x * x)) = 280(3x + 6) x(8 + 2x + (4x + x2)) = 280(3x + 6) Combine like terms: 2x + 4x = 6x x(8 + 6x + x2) = 280(3x + 6) (8 * x + 6x * x + x2 * x) = 280(3x + 6) (8x + 6x2 + x3) = 280(3x + 6) Reorder the terms: 8x + 6x2 + x3 = 280(6 + 3x) 8x + 6x2 + x3 = (6 * 280 + 3x * 280) 8x + 6x2 + x3 = (1680 + 840x) Solving 8x + 6x2 + x3 = 1680 + 840x Solving for variable 'x'. Reorder the terms: -1680 + 8x + -840x + 6x2 + x3 = 1680 + 840x + -1680 + -840x Combine like terms: 8x + -840x = -832x -1680 + -832x + 6x2 + x3 = 1680 + 840x + -1680 + -840x Reorder the terms: -1680 + -832x + 6x2 + x3 = 1680 + -1680 + 840x + -840x Combine like terms: 1680 + -1680 = 0 -1680 + -832x + 6x2 + x3 = 0 + 840x + -840x -1680 + -832x + 6x2 + x3 = 840x + -840x Combine like terms: 840x + -840x = 0 -1680 + -832x + 6x2 + x3 = 0 The solution to this equation could not be determined.
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