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Simplifying x(2x + 54) = 2x3 + 8x2 + 500 Reorder the terms: x(54 + 2x) = 2x3 + 8x2 + 500 (54 * x + 2x * x) = 2x3 + 8x2 + 500 (54x + 2x2) = 2x3 + 8x2 + 500 Reorder the terms: 54x + 2x2 = 500 + 8x2 + 2x3 Solving 54x + 2x2 = 500 + 8x2 + 2x3 Solving for variable 'x'. Reorder the terms: -500 + 54x + 2x2 + -8x2 + -2x3 = 500 + 8x2 + 2x3 + -500 + -8x2 + -2x3 Combine like terms: 2x2 + -8x2 = -6x2 -500 + 54x + -6x2 + -2x3 = 500 + 8x2 + 2x3 + -500 + -8x2 + -2x3 Reorder the terms: -500 + 54x + -6x2 + -2x3 = 500 + -500 + 8x2 + -8x2 + 2x3 + -2x3 Combine like terms: 500 + -500 = 0 -500 + 54x + -6x2 + -2x3 = 0 + 8x2 + -8x2 + 2x3 + -2x3 -500 + 54x + -6x2 + -2x3 = 8x2 + -8x2 + 2x3 + -2x3 Combine like terms: 8x2 + -8x2 = 0 -500 + 54x + -6x2 + -2x3 = 0 + 2x3 + -2x3 -500 + 54x + -6x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -500 + 54x + -6x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-250 + 27x + -3x2 + -1x3) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-250 + 27x + -3x2 + -1x3)' equal to zero and attempt to solve: Simplifying -250 + 27x + -3x2 + -1x3 = 0 Solving -250 + 27x + -3x2 + -1x3 = 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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