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Simplifying X4 + 4x2 + -5 = 0 Reorder the terms: -5 + X4 + 4x2 = 0 Solving -5 + X4 + 4x2 = 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 + 4x2 = 0 + 5 Reorder the terms: -5 + 5 + X4 + 4x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + X4 + 4x2 = 0 + 5 X4 + 4x2 = 0 + 5 Combine like terms: 0 + 5 = 5 X4 + 4x2 = 5 Add '-4x2' to each side of the equation. X4 + 4x2 + -4x2 = 5 + -4x2 Combine like terms: 4x2 + -4x2 = 0 X4 + 0 = 5 + -4x2 X4 = 5 + -4x2 Simplifying X4 = 5 + -4x2 Reorder the terms: -5 + X4 + 4x2 = 5 + -4x2 + -5 + 4x2 Reorder the terms: -5 + X4 + 4x2 = 5 + -5 + -4x2 + 4x2 Combine like terms: 5 + -5 = 0 -5 + X4 + 4x2 = 0 + -4x2 + 4x2 -5 + X4 + 4x2 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 -5 + X4 + 4x2 = 0 Factor a trinomial. (X2 + -4x)(X2 + -1x) = 0Subproblem 1
Set the factor '(X2 + -4x)' equal to zero and attempt to solve: Simplifying X2 + -4x = 0 Solving X2 + -4x = 0 Move all terms containing X to the left, all other terms to the right. Add '4x' to each side of the equation. X2 + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 X2 + 0 = 0 + 4x X2 = 0 + 4x Remove the zero: X2 = 4x Simplifying X2 = 4x 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 + -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. The solution to this equation could not be determined.
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