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Simplifying X4 + -5x2 + 4 = 0 Reorder the terms: 4 + X4 + -5x2 = 0 Solving 4 + X4 + -5x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + X4 + -4 + -5x2 = 0 + -4 Reorder the terms: 4 + -4 + X4 + -5x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + X4 + -5x2 = 0 + -4 X4 + -5x2 = 0 + -4 Combine like terms: 0 + -4 = -4 X4 + -5x2 = -4 Add '5x2' to each side of the equation. X4 + -5x2 + 5x2 = -4 + 5x2 Combine like terms: -5x2 + 5x2 = 0 X4 + 0 = -4 + 5x2 X4 = -4 + 5x2 Simplifying X4 = -4 + 5x2 Reorder the terms: 4 + X4 + -5x2 = -4 + 5x2 + 4 + -5x2 Reorder the terms: 4 + X4 + -5x2 = -4 + 4 + 5x2 + -5x2 Combine like terms: -4 + 4 = 0 4 + X4 + -5x2 = 0 + 5x2 + -5x2 4 + X4 + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 4 + X4 + -5x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying X2 + 5x = 0 Solving X2 + 5x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X2 + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 X2 + 0 = 0 + -5x X2 = 0 + -5x Remove the zero: X2 = -5x Simplifying X2 = -5x 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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