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Simplifying 180 = (x + 7)(3x + 18)(x + 9) Reorder the terms: 180 = (7 + x)(3x + 18)(x + 9) Reorder the terms: 180 = (7 + x)(18 + 3x)(x + 9) Reorder the terms: 180 = (7 + x)(18 + 3x)(9 + x) Multiply (7 + x) * (18 + 3x) 180 = (7(18 + 3x) + x(18 + 3x))(9 + x) 180 = ((18 * 7 + 3x * 7) + x(18 + 3x))(9 + x) 180 = ((126 + 21x) + x(18 + 3x))(9 + x) 180 = (126 + 21x + (18 * x + 3x * x))(9 + x) 180 = (126 + 21x + (18x + 3x2))(9 + x) Combine like terms: 21x + 18x = 39x 180 = (126 + 39x + 3x2)(9 + x) Multiply (126 + 39x + 3x2) * (9 + x) 180 = (126(9 + x) + 39x * (9 + x) + 3x2 * (9 + x)) 180 = ((9 * 126 + x * 126) + 39x * (9 + x) + 3x2 * (9 + x)) 180 = ((1134 + 126x) + 39x * (9 + x) + 3x2 * (9 + x)) 180 = (1134 + 126x + (9 * 39x + x * 39x) + 3x2 * (9 + x)) 180 = (1134 + 126x + (351x + 39x2) + 3x2 * (9 + x)) 180 = (1134 + 126x + 351x + 39x2 + (9 * 3x2 + x * 3x2)) 180 = (1134 + 126x + 351x + 39x2 + (27x2 + 3x3)) Combine like terms: 126x + 351x = 477x 180 = (1134 + 477x + 39x2 + 27x2 + 3x3) Combine like terms: 39x2 + 27x2 = 66x2 180 = (1134 + 477x + 66x2 + 3x3) Solving 180 = 1134 + 477x + 66x2 + 3x3 Solving for variable 'x'. Combine like terms: 180 + -1134 = -954 -954 + -477x + -66x2 + -3x3 = 1134 + 477x + 66x2 + 3x3 + -1134 + -477x + -66x2 + -3x3 Reorder the terms: -954 + -477x + -66x2 + -3x3 = 1134 + -1134 + 477x + -477x + 66x2 + -66x2 + 3x3 + -3x3 Combine like terms: 1134 + -1134 = 0 -954 + -477x + -66x2 + -3x3 = 0 + 477x + -477x + 66x2 + -66x2 + 3x3 + -3x3 -954 + -477x + -66x2 + -3x3 = 477x + -477x + 66x2 + -66x2 + 3x3 + -3x3 Combine like terms: 477x + -477x = 0 -954 + -477x + -66x2 + -3x3 = 0 + 66x2 + -66x2 + 3x3 + -3x3 -954 + -477x + -66x2 + -3x3 = 66x2 + -66x2 + 3x3 + -3x3 Combine like terms: 66x2 + -66x2 = 0 -954 + -477x + -66x2 + -3x3 = 0 + 3x3 + -3x3 -954 + -477x + -66x2 + -3x3 = 3x3 + -3x3 Combine like terms: 3x3 + -3x3 = 0 -954 + -477x + -66x2 + -3x3 = 0 Factor out the Greatest Common Factor (GCF), '-3'. -3(318 + 159x + 22x2 + x3) = 0 Ignore the factor -3.Subproblem 1
Set the factor '(318 + 159x + 22x2 + x3)' equal to zero and attempt to solve: Simplifying 318 + 159x + 22x2 + x3 = 0 Solving 318 + 159x + 22x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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