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Simplifying x12 + -61x6 + 900 = 0 Reorder the terms: 900 + -61x6 + x12 = 0 Solving 900 + -61x6 + x12 = 0 Solving for variable 'x'. Factor a trinomial. (25 + -1x6)(36 + -1x6) = 0 Factor a difference between two squares. ((5 + x3)(5 + -1x3))(36 + -1x6) = 0 Factor a difference between two squares. ((6 + x3)(6 + -1x3))(5 + x3)(5 + -1x3) = 0Subproblem 1
Set the factor '(5 + x3)' equal to zero and attempt to solve: Simplifying 5 + x3 = 0 Solving 5 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x3 = 0 + -5 x3 = 0 + -5 Combine like terms: 0 + -5 = -5 x3 = -5 Simplifying x3 = -5 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 '(5 + -1x3)' equal to zero and attempt to solve: Simplifying 5 + -1x3 = 0 Solving 5 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x3 = 0 + -5 -1x3 = 0 + -5 Combine like terms: 0 + -5 = -5 -1x3 = -5 Divide each side by '-1'. x3 = 5 Simplifying x3 = 5 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(6 + x3)' equal to zero and attempt to solve: Simplifying 6 + x3 = 0 Solving 6 + x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x3 = 0 + -6 x3 = 0 + -6 Combine like terms: 0 + -6 = -6 x3 = -6 Simplifying x3 = -6 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(6 + -1x3)' equal to zero and attempt to solve: Simplifying 6 + -1x3 = 0 Solving 6 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x3 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x3 = 0 + -6 -1x3 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x3 = -6 Divide each side by '-1'. x3 = 6 Simplifying x3 = 6 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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