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Simplifying X4 + 5 + -6x2 = 0 Reorder the terms: 5 + X4 + -6x2 = 0 Solving 5 + X4 + -6x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + X4 + -5 + -6x2 = 0 + -5 Reorder the terms: 5 + -5 + X4 + -6x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + X4 + -6x2 = 0 + -5 X4 + -6x2 = 0 + -5 Combine like terms: 0 + -5 = -5 X4 + -6x2 = -5 Add '6x2' to each side of the equation. X4 + -6x2 + 6x2 = -5 + 6x2 Combine like terms: -6x2 + 6x2 = 0 X4 + 0 = -5 + 6x2 X4 = -5 + 6x2 Simplifying X4 = -5 + 6x2 Reorder the terms: 5 + X4 + -6x2 = -5 + 6x2 + 5 + -6x2 Reorder the terms: 5 + X4 + -6x2 = -5 + 5 + 6x2 + -6x2 Combine like terms: -5 + 5 = 0 5 + X4 + -6x2 = 0 + 6x2 + -6x2 5 + X4 + -6x2 = 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 5 + X4 + -6x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 6x) = 0Subproblem 1
Set the factor '(X2 + -1x)' equal to zero and attempt to solve: Simplifying X2 + -1x = 0 Solving X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X2 + -1x + x = 0 + x Combine like terms: -1x + x = 0 X2 + 0 = 0 + x X2 = 0 + x Remove the zero: X2 = x Simplifying X2 = x 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 '(X2 + 6x)' equal to zero and attempt to solve: Simplifying X2 + 6x = 0 Solving X2 + 6x = 0 Move all terms containing X to the left, all other terms to the right. Add '-6x' to each side of the equation. X2 + 6x + -6x = 0 + -6x Combine like terms: 6x + -6x = 0 X2 + 0 = 0 + -6x X2 = 0 + -6x Remove the zero: X2 = -6x Simplifying X2 = -6x 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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