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Simplifying 3x12 + 2x6 + -5 = 0 Reorder the terms: -5 + 2x6 + 3x12 = 0 Solving -5 + 2x6 + 3x12 = 0 Solving for variable 'x'. Factor a trinomial. (-5 + -3x6)(1 + -1x6) = 0 Factor a difference between two squares. (-5 + -3x6)((1 + x3)(1 + -1x3)) = 0Subproblem 1
Set the factor '(-5 + -3x6)' equal to zero and attempt to solve: Simplifying -5 + -3x6 = 0 Solving -5 + -3x6 = 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 + -3x6 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x6 = 0 + 5 -3x6 = 0 + 5 Combine like terms: 0 + 5 = 5 -3x6 = 5 Divide each side by '-3'. x6 = -1.666666667 Simplifying x6 = -1.666666667 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 + x3)' equal to zero and attempt to solve: Simplifying 1 + x3 = 0 Solving 1 + x3 = 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 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x3 = 0 + -1 x3 = 0 + -1 Combine like terms: 0 + -1 = -1 x3 = -1 Simplifying x3 = -1 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 '(1 + -1x3)' equal to zero and attempt to solve: Simplifying 1 + -1x3 = 0 Solving 1 + -1x3 = 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 + -1x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x3 = 0 + -1 -1x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x3 = -1 Divide each side by '-1'. x3 = 1 Simplifying x3 = 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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