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Simplifying x10 + -14x5 + 40 = 0 Reorder the terms: 40 + -14x5 + x10 = 0 Solving 40 + -14x5 + x10 = 0 Solving for variable 'x'. Factor a trinomial. (4 + -1x5)(10 + -1x5) = 0Subproblem 1
Set the factor '(4 + -1x5)' equal to zero and attempt to solve: Simplifying 4 + -1x5 = 0 Solving 4 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x5 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x5 = 0 + -4 -1x5 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x5 = -4 Divide each side by '-1'. x5 = 4 Simplifying x5 = 4 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 '(10 + -1x5)' equal to zero and attempt to solve: Simplifying 10 + -1x5 = 0 Solving 10 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x5 = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x5 = 0 + -10 -1x5 = 0 + -10 Combine like terms: 0 + -10 = -10 -1x5 = -10 Divide each side by '-1'. x5 = 10 Simplifying x5 = 10 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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