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Simplifying x6 = 7x3 + -12 Reorder the terms: x6 = -12 + 7x3 Solving x6 = -12 + 7x3 Solving for variable 'x'. Reorder the terms: 12 + -7x3 + x6 = -12 + 7x3 + 12 + -7x3 Reorder the terms: 12 + -7x3 + x6 = -12 + 12 + 7x3 + -7x3 Combine like terms: -12 + 12 = 0 12 + -7x3 + x6 = 0 + 7x3 + -7x3 12 + -7x3 + x6 = 7x3 + -7x3 Combine like terms: 7x3 + -7x3 = 0 12 + -7x3 + x6 = 0 Factor a trinomial. (3 + -1x3)(4 + -1x3) = 0Subproblem 1
Set the factor '(3 + -1x3)' equal to zero and attempt to solve: Simplifying 3 + -1x3 = 0 Solving 3 + -1x3 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x3 = 0 + -3 -1x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x3 = -3 Divide each side by '-1'. x3 = 3 Simplifying x3 = 3 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 '(4 + -1x3)' equal to zero and attempt to solve: Simplifying 4 + -1x3 = 0 Solving 4 + -1x3 = 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 + -1x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x3 = 0 + -4 -1x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -1x3 = -4 Divide each side by '-1'. x3 = 4 Simplifying x3 = 4 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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