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Simplifying x8 + -13x4 + 42 = 0 Reorder the terms: 42 + -13x4 + x8 = 0 Solving 42 + -13x4 + x8 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x4)(7 + -1x4) = 0Subproblem 1
Set the factor '(6 + -1x4)' equal to zero and attempt to solve: Simplifying 6 + -1x4 = 0 Solving 6 + -1x4 = 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 + -1x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x4 = 0 + -6 -1x4 = 0 + -6 Combine like terms: 0 + -6 = -6 -1x4 = -6 Divide each side by '-1'. x4 = 6 Simplifying x4 = 6 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 '(7 + -1x4)' equal to zero and attempt to solve: Simplifying 7 + -1x4 = 0 Solving 7 + -1x4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x4 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x4 = 0 + -7 -1x4 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x4 = -7 Divide each side by '-1'. x4 = 7 Simplifying x4 = 7 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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