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Simplifying x(x + 5) = (x + 7)(x + 4)(x + 11) Reorder the terms: x(5 + x) = (x + 7)(x + 4)(x + 11) (5 * x + x * x) = (x + 7)(x + 4)(x + 11) (5x + x2) = (x + 7)(x + 4)(x + 11) Reorder the terms: 5x + x2 = (7 + x)(x + 4)(x + 11) Reorder the terms: 5x + x2 = (7 + x)(4 + x)(x + 11) Reorder the terms: 5x + x2 = (7 + x)(4 + x)(11 + x) Multiply (7 + x) * (4 + x) 5x + x2 = (7(4 + x) + x(4 + x))(11 + x) 5x + x2 = ((4 * 7 + x * 7) + x(4 + x))(11 + x) 5x + x2 = ((28 + 7x) + x(4 + x))(11 + x) 5x + x2 = (28 + 7x + (4 * x + x * x))(11 + x) 5x + x2 = (28 + 7x + (4x + x2))(11 + x) Combine like terms: 7x + 4x = 11x 5x + x2 = (28 + 11x + x2)(11 + x) Multiply (28 + 11x + x2) * (11 + x) 5x + x2 = (28(11 + x) + 11x * (11 + x) + x2(11 + x)) 5x + x2 = ((11 * 28 + x * 28) + 11x * (11 + x) + x2(11 + x)) 5x + x2 = ((308 + 28x) + 11x * (11 + x) + x2(11 + x)) 5x + x2 = (308 + 28x + (11 * 11x + x * 11x) + x2(11 + x)) 5x + x2 = (308 + 28x + (121x + 11x2) + x2(11 + x)) 5x + x2 = (308 + 28x + 121x + 11x2 + (11 * x2 + x * x2)) 5x + x2 = (308 + 28x + 121x + 11x2 + (11x2 + x3)) Combine like terms: 28x + 121x = 149x 5x + x2 = (308 + 149x + 11x2 + 11x2 + x3) Combine like terms: 11x2 + 11x2 = 22x2 5x + x2 = (308 + 149x + 22x2 + x3) Solving 5x + x2 = 308 + 149x + 22x2 + x3 Solving for variable 'x'. Reorder the terms: -308 + 5x + -149x + x2 + -22x2 + -1x3 = 308 + 149x + 22x2 + x3 + -308 + -149x + -22x2 + -1x3 Combine like terms: 5x + -149x = -144x -308 + -144x + x2 + -22x2 + -1x3 = 308 + 149x + 22x2 + x3 + -308 + -149x + -22x2 + -1x3 Combine like terms: x2 + -22x2 = -21x2 -308 + -144x + -21x2 + -1x3 = 308 + 149x + 22x2 + x3 + -308 + -149x + -22x2 + -1x3 Reorder the terms: -308 + -144x + -21x2 + -1x3 = 308 + -308 + 149x + -149x + 22x2 + -22x2 + x3 + -1x3 Combine like terms: 308 + -308 = 0 -308 + -144x + -21x2 + -1x3 = 0 + 149x + -149x + 22x2 + -22x2 + x3 + -1x3 -308 + -144x + -21x2 + -1x3 = 149x + -149x + 22x2 + -22x2 + x3 + -1x3 Combine like terms: 149x + -149x = 0 -308 + -144x + -21x2 + -1x3 = 0 + 22x2 + -22x2 + x3 + -1x3 -308 + -144x + -21x2 + -1x3 = 22x2 + -22x2 + x3 + -1x3 Combine like terms: 22x2 + -22x2 = 0 -308 + -144x + -21x2 + -1x3 = 0 + x3 + -1x3 -308 + -144x + -21x2 + -1x3 = x3 + -1x3 Combine like terms: x3 + -1x3 = 0 -308 + -144x + -21x2 + -1x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(308 + 144x + 21x2 + x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(308 + 144x + 21x2 + x3)' equal to zero and attempt to solve: Simplifying 308 + 144x + 21x2 + x3 = 0 Solving 308 + 144x + 21x2 + 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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