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Simplifying 0 = 2x3 + 6x2 + 5x + 2 Reorder the terms: 0 = 2 + 5x + 6x2 + 2x3 Solving 0 = 2 + 5x + 6x2 + 2x3 Solving for variable 'x'. Combine like terms: 0 + -2 = -2 -2 + -5x + -6x2 + -2x3 = 2 + 5x + 6x2 + 2x3 + -2 + -5x + -6x2 + -2x3 Reorder the terms: -2 + -5x + -6x2 + -2x3 = 2 + -2 + 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3 Combine like terms: 2 + -2 = 0 -2 + -5x + -6x2 + -2x3 = 0 + 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3 -2 + -5x + -6x2 + -2x3 = 5x + -5x + 6x2 + -6x2 + 2x3 + -2x3 Combine like terms: 5x + -5x = 0 -2 + -5x + -6x2 + -2x3 = 0 + 6x2 + -6x2 + 2x3 + -2x3 -2 + -5x + -6x2 + -2x3 = 6x2 + -6x2 + 2x3 + -2x3 Combine like terms: 6x2 + -6x2 = 0 -2 + -5x + -6x2 + -2x3 = 0 + 2x3 + -2x3 -2 + -5x + -6x2 + -2x3 = 2x3 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -2 + -5x + -6x2 + -2x3 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(2 + 5x + 6x2 + 2x3) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(2 + 5x + 6x2 + 2x3)' equal to zero and attempt to solve: Simplifying 2 + 5x + 6x2 + 2x3 = 0 Solving 2 + 5x + 6x2 + 2x3 = 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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