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Simplifying 6x6 + 48x3 + 72 = 0 Reorder the terms: 72 + 48x3 + 6x6 = 0 Solving 72 + 48x3 + 6x6 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(12 + 8x3 + x6) = 0 Factor a trinomial. 6((6 + x3)(2 + x3)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(6 + x3)' equal to zero and attempt to solve: Simplifying 6 + x3 = 0 Solving 6 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x3 = 0 + -6 x3 = 0 + -6 Combine like terms: 0 + -6 = -6 x3 = -6 Simplifying x3 = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + x3)' equal to zero and attempt to solve: Simplifying 2 + x3 = 0 Solving 2 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x3 = 0 + -2 x3 = 0 + -2 Combine like terms: 0 + -2 = -2 x3 = -2 Simplifying x3 = -2 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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