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Simplifying (X2 + -1x)(X2 + 5x) = 0 Multiply (X2 + -1x) * (X2 + 5x) (X2(X2 + 5x) + -1x * (X2 + 5x)) = 0 ((X2 * X2 + 5x * X2) + -1x * (X2 + 5x)) = 0 ((X4 + 5xX2) + -1x * (X2 + 5x)) = 0 (X4 + 5xX2 + (X2 * -1x + 5x * -1x)) = 0 (X4 + 5xX2 + (-1xX2 + -5x2)) = 0 Combine like terms: 5xX2 + -1xX2 = 4xX2 (X4 + 4xX2 + -5x2) = 0 Solving X4 + 4xX2 + -5x2 = 0 Solving for variable 'X'. Factor a trinomial. (X2 + -1x)(X2 + 5x) = 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 + 5x)' equal to zero and attempt to solve: Simplifying X2 + 5x = 0 Solving X2 + 5x = 0 Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X2 + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 X2 + 0 = 0 + -5x X2 = 0 + -5x Remove the zero: X2 = -5x Simplifying X2 = -5x 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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