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Simplifying X4 + 2x2 + -3x2 = 0 Combine like terms: 2x2 + -3x2 = -1x2 X4 + -1x2 = 0 Solving X4 + -1x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add 'x2' to each side of the equation. X4 + -1x2 + x2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 X4 + 0 = 0 + x2 X4 = 0 + x2 Remove the zero: X4 = x2 Simplifying X4 = x2 Combine like terms: x2 + -1x2 = 0 X4 + -1x2 = 0 Factor a difference between two squares. (X2 + x)(X2 + -1x) = 0Subproblem 1
Set the factor '(X2 + x)' equal to zero and attempt to solve: Simplifying X2 + x = 0 Solving X2 + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X2 + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X2 + 0 = 0 + -1x X2 = 0 + -1x Remove the zero: X2 = -1x Simplifying X2 = -1x 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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