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Simplifying X4 + -17x2 = -16 Solving X4 + -17x2 = -16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '17x2' to each side of the equation. X4 + -17x2 + 17x2 = -16 + 17x2 Combine like terms: -17x2 + 17x2 = 0 X4 + 0 = -16 + 17x2 X4 = -16 + 17x2 Simplifying X4 = -16 + 17x2 Reorder the terms: 16 + X4 + -17x2 = -16 + 17x2 + 16 + -17x2 Reorder the terms: 16 + X4 + -17x2 = -16 + 16 + 17x2 + -17x2 Combine like terms: -16 + 16 = 0 16 + X4 + -17x2 = 0 + 17x2 + -17x2 16 + X4 + -17x2 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 16 + X4 + -17x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 17x) = 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 + 17x)' equal to zero and attempt to solve: Simplifying X2 + 17x = 0 Solving X2 + 17x = 0 Move all terms containing X to the left, all other terms to the right. Add '-17x' to each side of the equation. X2 + 17x + -17x = 0 + -17x Combine like terms: 17x + -17x = 0 X2 + 0 = 0 + -17x X2 = 0 + -17x Remove the zero: X2 = -17x Simplifying X2 = -17x 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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