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Simplifying 2x[2 + 2x(x + 2)] = 24 Reorder the terms: 2x[2 + 2x(2 + x)] = 24 2x[2 + (2 * 2x + x * 2x)] = 24 2x[2 + (4x + 2x2)] = 24 [2 * 2x + 4x * 2x + 2x2 * 2x] = 24 [4x + 8x2 + 4x3] = 24 Solving 4x + 8x2 + 4x3 = 24 Solving for variable 'x'. Reorder the terms: -24 + 4x + 8x2 + 4x3 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 4x + 8x2 + 4x3 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + x + 2x2 + x3) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + x + 2x2 + x3)' equal to zero and attempt to solve: Simplifying -6 + x + 2x2 + x3 = 0 Solving -6 + x + 2x2 + 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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