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Simplifying X4 + -31x2 + 30 = 0 Reorder the terms: 30 + X4 + -31x2 = 0 Solving 30 + X4 + -31x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + X4 + -30 + -31x2 = 0 + -30 Reorder the terms: 30 + -30 + X4 + -31x2 = 0 + -30 Combine like terms: 30 + -30 = 0 0 + X4 + -31x2 = 0 + -30 X4 + -31x2 = 0 + -30 Combine like terms: 0 + -30 = -30 X4 + -31x2 = -30 Add '31x2' to each side of the equation. X4 + -31x2 + 31x2 = -30 + 31x2 Combine like terms: -31x2 + 31x2 = 0 X4 + 0 = -30 + 31x2 X4 = -30 + 31x2 Simplifying X4 = -30 + 31x2 Reorder the terms: 30 + X4 + -31x2 = -30 + 31x2 + 30 + -31x2 Reorder the terms: 30 + X4 + -31x2 = -30 + 30 + 31x2 + -31x2 Combine like terms: -30 + 30 = 0 30 + X4 + -31x2 = 0 + 31x2 + -31x2 30 + X4 + -31x2 = 31x2 + -31x2 Combine like terms: 31x2 + -31x2 = 0 30 + X4 + -31x2 = 0 Factor a trinomial. (X2 + -1x)(X2 + 31x) = 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 + 31x)' equal to zero and attempt to solve: Simplifying X2 + 31x = 0 Solving X2 + 31x = 0 Move all terms containing X to the left, all other terms to the right. Add '-31x' to each side of the equation. X2 + 31x + -31x = 0 + -31x Combine like terms: 31x + -31x = 0 X2 + 0 = 0 + -31x X2 = 0 + -31x Remove the zero: X2 = -31x Simplifying X2 = -31x 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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