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Simplifying q8 + 12 = 16 Reorder the terms: 12 + q8 = 16 Solving 12 + q8 = 16 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + q8 = 16 + -12 Combine like terms: 12 + -12 = 0 0 + q8 = 16 + -12 q8 = 16 + -12 Combine like terms: 16 + -12 = 4 q8 = 4 Simplifying q8 = 4 Reorder the terms: -4 + q8 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + q8 = 0 Factor a difference between two squares. (2 + q4)(-2 + q4) = 0Subproblem 1
Set the factor '(2 + q4)' equal to zero and attempt to solve: Simplifying 2 + q4 = 0 Solving 2 + q4 = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q4 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + q4 = 0 + -2 q4 = 0 + -2 Combine like terms: 0 + -2 = -2 q4 = -2 Simplifying q4 = -2 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 '(-2 + q4)' equal to zero and attempt to solve: Simplifying -2 + q4 = 0 Solving -2 + q4 = 0 Move all terms containing q to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + q4 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + q4 = 0 + 2 q4 = 0 + 2 Combine like terms: 0 + 2 = 2 q4 = 2 Simplifying q4 = 2 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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