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Simplifying X4 + -20x2 + 19 = 0 Reorder the terms: 19 + X4 + -20x2 = 0 Solving 19 + X4 + -20x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + X4 + -19 + -20x2 = 0 + -19 Reorder the terms: 19 + -19 + X4 + -20x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + X4 + -20x2 = 0 + -19 X4 + -20x2 = 0 + -19 Combine like terms: 0 + -19 = -19 X4 + -20x2 = -19 Add '20x2' to each side of the equation. X4 + -20x2 + 20x2 = -19 + 20x2 Combine like terms: -20x2 + 20x2 = 0 X4 + 0 = -19 + 20x2 X4 = -19 + 20x2 Simplifying X4 = -19 + 20x2 Reorder the terms: 19 + X4 + -20x2 = -19 + 20x2 + 19 + -20x2 Reorder the terms: 19 + X4 + -20x2 = -19 + 19 + 20x2 + -20x2 Combine like terms: -19 + 19 = 0 19 + X4 + -20x2 = 0 + 20x2 + -20x2 19 + X4 + -20x2 = 20x2 + -20x2 Combine like terms: 20x2 + -20x2 = 0 19 + X4 + -20x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 20x) = 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 + 20x)' equal to zero and attempt to solve: Simplifying X2 + 20x = 0 Solving X2 + 20x = 0 Move all terms containing X to the left, all other terms to the right. Add '-20x' to each side of the equation. X2 + 20x + -20x = 0 + -20x Combine like terms: 20x + -20x = 0 X2 + 0 = 0 + -20x X2 = 0 + -20x Remove the zero: X2 = -20x Simplifying X2 = -20x 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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