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Simplifying X4 + -50x2 + 49 = 0 Reorder the terms: 49 + X4 + -50x2 = 0 Solving 49 + X4 + -50x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + X4 + -49 + -50x2 = 0 + -49 Reorder the terms: 49 + -49 + X4 + -50x2 = 0 + -49 Combine like terms: 49 + -49 = 0 0 + X4 + -50x2 = 0 + -49 X4 + -50x2 = 0 + -49 Combine like terms: 0 + -49 = -49 X4 + -50x2 = -49 Add '50x2' to each side of the equation. X4 + -50x2 + 50x2 = -49 + 50x2 Combine like terms: -50x2 + 50x2 = 0 X4 + 0 = -49 + 50x2 X4 = -49 + 50x2 Simplifying X4 = -49 + 50x2 Reorder the terms: 49 + X4 + -50x2 = -49 + 50x2 + 49 + -50x2 Reorder the terms: 49 + X4 + -50x2 = -49 + 49 + 50x2 + -50x2 Combine like terms: -49 + 49 = 0 49 + X4 + -50x2 = 0 + 50x2 + -50x2 49 + X4 + -50x2 = 50x2 + -50x2 Combine like terms: 50x2 + -50x2 = 0 49 + X4 + -50x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 50x) = 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 + 50x)' equal to zero and attempt to solve: Simplifying X2 + 50x = 0 Solving X2 + 50x = 0 Move all terms containing X to the left, all other terms to the right. Add '-50x' to each side of the equation. X2 + 50x + -50x = 0 + -50x Combine like terms: 50x + -50x = 0 X2 + 0 = 0 + -50x X2 = 0 + -50x Remove the zero: X2 = -50x Simplifying X2 = -50x 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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