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Simplifying 9 = (1.5 + x) * x(3.0 + x) Reorder the terms for easier multiplication: 9 = x(1.5 + x)(3.0 + x) Multiply (1.5 + x) * (3.0 + x) 9 = x(1.5(3.0 + x) + x(3.0 + x)) 9 = x((3.0 * 1.5 + x * 1.5) + x(3.0 + x)) 9 = x((4.5 + 1.5x) + x(3.0 + x)) 9 = x(4.5 + 1.5x + (3.0 * x + x * x)) 9 = x(4.5 + 1.5x + (3.0x + x2)) Combine like terms: 1.5x + 3.0x = 4.5x 9 = x(4.5 + 4.5x + x2) 9 = (4.5 * x + 4.5x * x + x2 * x) 9 = (4.5x + 4.5x2 + x3) Solving 9 = 4.5x + 4.5x2 + x3 Solving for variable 'x'. Reorder the terms: 9 + -4.5x + -4.5x2 + -1x3 = 4.5x + -4.5x + 4.5x2 + -4.5x2 + x3 + -1x3 Combine like terms: 4.5x + -4.5x = 0.0 9 + -4.5x + -4.5x2 + -1x3 = 0.0 + 4.5x2 + -4.5x2 + x3 + -1x3 9 + -4.5x + -4.5x2 + -1x3 = 4.5x2 + -4.5x2 + x3 + -1x3 Combine like terms: 4.5x2 + -4.5x2 = 0.0 9 + -4.5x + -4.5x2 + -1x3 = 0.0 + x3 + -1x3 9 + -4.5x + -4.5x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 9 + -4.5x + -4.5x2 + -1x3 = 0 The solution to this equation could not be determined.
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