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Simplifying X6 + -3x4 + 2x2 = 0 Reorder the terms: X6 + 2x2 + -3x4 = 0 Solving X6 + 2x2 + -3x4 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-2x2' to each side of the equation. X6 + 2x2 + -2x2 + -3x4 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 X6 + 0 + -3x4 = 0 + -2x2 X6 + -3x4 = 0 + -2x2 Remove the zero: X6 + -3x4 = -2x2 Add '3x4' to each side of the equation. X6 + -3x4 + 3x4 = -2x2 + 3x4 Combine like terms: -3x4 + 3x4 = 0 X6 + 0 = -2x2 + 3x4 X6 = -2x2 + 3x4 Simplifying X6 = -2x2 + 3x4 Reorder the terms: X6 + 2x2 + -3x4 = -2x2 + 2x2 + 3x4 + -3x4 Combine like terms: -2x2 + 2x2 = 0 X6 + 2x2 + -3x4 = 0 + 3x4 + -3x4 X6 + 2x2 + -3x4 = 3x4 + -3x4 Combine like terms: 3x4 + -3x4 = 0 X6 + 2x2 + -3x4 = 0 Factor a trinomial. (X3 + -1x2)(X3 + 3x2) = 0Subproblem 1
Set the factor '(X3 + -1x2)' equal to zero and attempt to solve: Simplifying X3 + -1x2 = 0 Solving X3 + -1x2 = 0 Move all terms containing X to the left, all other terms to the right. Add 'x2' to each side of the equation. X3 + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 X3 + 0 = 0 + x2 X3 = 0 + x2 Remove the zero: X3 = x2 Simplifying X3 = x2 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 '(X3 + 3x2)' equal to zero and attempt to solve: Simplifying X3 + 3x2 = 0 Solving X3 + 3x2 = 0 Move all terms containing X to the left, all other terms to the right. Add '-3x2' to each side of the equation. X3 + 3x2 + -3x2 = 0 + -3x2 Combine like terms: 3x2 + -3x2 = 0 X3 + 0 = 0 + -3x2 X3 = 0 + -3x2 Remove the zero: X3 = -3x2 Simplifying X3 = -3x2 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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