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Simplifying X4 + 11x2 = 12 Solving X4 + 11x2 = 12 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-11x2' to each side of the equation. X4 + 11x2 + -11x2 = 12 + -11x2 Combine like terms: 11x2 + -11x2 = 0 X4 + 0 = 12 + -11x2 X4 = 12 + -11x2 Simplifying X4 = 12 + -11x2 Reorder the terms: -12 + X4 + 11x2 = 12 + -11x2 + -12 + 11x2 Reorder the terms: -12 + X4 + 11x2 = 12 + -12 + -11x2 + 11x2 Combine like terms: 12 + -12 = 0 -12 + X4 + 11x2 = 0 + -11x2 + 11x2 -12 + X4 + 11x2 = -11x2 + 11x2 Combine like terms: -11x2 + 11x2 = 0 -12 + X4 + 11x2 = 0 Factor a trinomial. (X2 + -11x)(X2 + -1x) = 0Subproblem 1
Set the factor '(X2 + -11x)' equal to zero and attempt to solve: Simplifying X2 + -11x = 0 Solving X2 + -11x = 0 Move all terms containing X to the left, all other terms to the right. Add '11x' to each side of the equation. X2 + -11x + 11x = 0 + 11x Combine like terms: -11x + 11x = 0 X2 + 0 = 0 + 11x X2 = 0 + 11x Remove the zero: X2 = 11x Simplifying X2 = 11x 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 + -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. The solution to this equation could not be determined.
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