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Simplifying 2X8 + 6X7 + 4X6 = 0 Reorder the terms: 4X6 + 6X7 + 2X8 = 0 Solving 4X6 + 6X7 + 2X8 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), '2X6'. 2X6(2 + 3X + X2) = 0 Factor a trinomial. 2X6((2 + X)(1 + X)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'X6' equal to zero and attempt to solve: Simplifying X6 = 0 Solving X6 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X6 = 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 '(1 + X)' equal to zero and attempt to solve: Simplifying 1 + X = 0 Solving 1 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + X = 0 + -1 Combine like terms: 1 + -1 = 0 0 + X = 0 + -1 X = 0 + -1 Combine like terms: 0 + -1 = -1 X = -1 Simplifying X = -1Solution
X = {-2, -1}
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