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Simplifying x6 + -41x3 + 400 = 0 Reorder the terms: 400 + -41x3 + x6 = 0 Solving 400 + -41x3 + x6 = 0 Solving for variable 'x'. Factor a trinomial. (16 + -1x3)(25 + -1x3) = 0Subproblem 1
Set the factor '(16 + -1x3)' equal to zero and attempt to solve: Simplifying 16 + -1x3 = 0 Solving 16 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x3 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x3 = 0 + -16 -1x3 = 0 + -16 Combine like terms: 0 + -16 = -16 -1x3 = -16 Divide each side by '-1'. x3 = 16 Simplifying x3 = 16 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 '(25 + -1x3)' equal to zero and attempt to solve: Simplifying 25 + -1x3 = 0 Solving 25 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x3 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x3 = 0 + -25 -1x3 = 0 + -25 Combine like terms: 0 + -25 = -25 -1x3 = -25 Divide each side by '-1'. x3 = 25 Simplifying x3 = 25 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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