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Simplifying 0 = x6 + 4x5 + 4x4 Reorder the terms: 0 = 4x4 + 4x5 + x6 Solving 0 = 4x4 + 4x5 + x6 Solving for variable 'x'. Remove the zero: -4x4 + -4x5 + -1x6 = 4x4 + 4x5 + x6 + -4x4 + -4x5 + -1x6 Reorder the terms: -4x4 + -4x5 + -1x6 = 4x4 + -4x4 + 4x5 + -4x5 + x6 + -1x6 Combine like terms: 4x4 + -4x4 = 0 -4x4 + -4x5 + -1x6 = 0 + 4x5 + -4x5 + x6 + -1x6 -4x4 + -4x5 + -1x6 = 4x5 + -4x5 + x6 + -1x6 Combine like terms: 4x5 + -4x5 = 0 -4x4 + -4x5 + -1x6 = 0 + x6 + -1x6 -4x4 + -4x5 + -1x6 = x6 + -1x6 Combine like terms: x6 + -1x6 = 0 -4x4 + -4x5 + -1x6 = 0 Factor out the Greatest Common Factor (GCF), '-1x4'. -1x4(4 + 4x + x2) = 0 Factor a trinomial. -1x4((2 + x)(2 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'x4' equal to zero and attempt to solve: Simplifying x4 = 0 Solving x4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x4 = 0 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 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 3
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 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 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Solution
x = {-2, -2}
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