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Simplifying 0 = 3x8 + 22x4 + 24 Reorder the terms: 0 = 24 + 22x4 + 3x8 Solving 0 = 24 + 22x4 + 3x8 Solving for variable 'x'. Combine like terms: 0 + -24 = -24 -24 + -22x4 + -3x8 = 24 + 22x4 + 3x8 + -24 + -22x4 + -3x8 Reorder the terms: -24 + -22x4 + -3x8 = 24 + -24 + 22x4 + -22x4 + 3x8 + -3x8 Combine like terms: 24 + -24 = 0 -24 + -22x4 + -3x8 = 0 + 22x4 + -22x4 + 3x8 + -3x8 -24 + -22x4 + -3x8 = 22x4 + -22x4 + 3x8 + -3x8 Combine like terms: 22x4 + -22x4 = 0 -24 + -22x4 + -3x8 = 0 + 3x8 + -3x8 -24 + -22x4 + -3x8 = 3x8 + -3x8 Combine like terms: 3x8 + -3x8 = 0 -24 + -22x4 + -3x8 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(24 + 22x4 + 3x8) = 0 Factor a trinomial. -1((6 + x4)(4 + 3x4)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + x4)' equal to zero and attempt to solve: Simplifying 6 + x4 = 0 Solving 6 + x4 = 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 + x4 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x4 = 0 + -6 x4 = 0 + -6 Combine like terms: 0 + -6 = -6 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 '(4 + 3x4)' equal to zero and attempt to solve: Simplifying 4 + 3x4 = 0 Solving 4 + 3x4 = 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 + 3x4 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3x4 = 0 + -4 3x4 = 0 + -4 Combine like terms: 0 + -4 = -4 3x4 = -4 Divide each side by '3'. x4 = -1.333333333 Simplifying x4 = -1.333333333 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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