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Simplifying x10 + 31x5 = 32 Reorder the terms: 31x5 + x10 = 32 Solving 31x5 + x10 = 32 Solving for variable 'x'. Reorder the terms: -32 + 31x5 + x10 = 32 + -32 Combine like terms: 32 + -32 = 0 -32 + 31x5 + x10 = 0 Factor a trinomial. (-32 + -1x5)(1 + -1x5) = 0Subproblem 1
Set the factor '(-32 + -1x5)' equal to zero and attempt to solve: Simplifying -32 + -1x5 = 0 Solving -32 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + -1x5 = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -1x5 = 0 + 32 -1x5 = 0 + 32 Combine like terms: 0 + 32 = 32 -1x5 = 32 Divide each side by '-1'. x5 = -32 Simplifying x5 = -32 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 '(1 + -1x5)' equal to zero and attempt to solve: Simplifying 1 + -1x5 = 0 Solving 1 + -1x5 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x5 = 0 + -1 -1x5 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x5 = -1 Divide each side by '-1'. x5 = 1 Simplifying x5 = 1 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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