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Simplifying -1q2 + q42 = 0 Solving -1q2 + q42 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q2'. q2(-1 + q40) = 0 Factor a difference between two squares. q2((1 + q20)(-1 + q20)) = 0 Factor a difference between two squares. q2((1 + q20)((1 + q10)(-1 + q10))) = 0 Factor a difference between two squares. q2((1 + q20)((1 + q10)((1 + q5)(-1 + q5)))) = 0Subproblem 1
Set the factor 'q2' equal to zero and attempt to solve: Simplifying q2 = 0 Solving q2 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q2 = 0 Take the square root of each side: q = {0}Subproblem 2
Set the factor '(1 + q20)' equal to zero and attempt to solve: Simplifying 1 + q20 = 0 Solving 1 + q20 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q20 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + q20 = 0 + -1 q20 = 0 + -1 Combine like terms: 0 + -1 = -1 q20 = -1 Simplifying q20 = -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 + q10)' equal to zero and attempt to solve: Simplifying 1 + q10 = 0 Solving 1 + q10 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q10 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + q10 = 0 + -1 q10 = 0 + -1 Combine like terms: 0 + -1 = -1 q10 = -1 Simplifying q10 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(1 + q5)' equal to zero and attempt to solve: Simplifying 1 + q5 = 0 Solving 1 + q5 = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q5 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + q5 = 0 + -1 q5 = 0 + -1 Combine like terms: 0 + -1 = -1 q5 = -1 Simplifying q5 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 5
Set the factor '(-1 + q5)' equal to zero and attempt to solve: Simplifying -1 + q5 = 0 Solving -1 + q5 = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + q5 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + q5 = 0 + 1 q5 = 0 + 1 Combine like terms: 0 + 1 = 1 q5 = 1 Simplifying q5 = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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