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Simplifying q3(2q + -5) + q2(7q2 + -4q) = 0 Reorder the terms: q3(-5 + 2q) + q2(7q2 + -4q) = 0 (-5 * q3 + 2q * q3) + q2(7q2 + -4q) = 0 (-5q3 + 2q4) + q2(7q2 + -4q) = 0 Reorder the terms: -5q3 + 2q4 + q2(-4q + 7q2) = 0 -5q3 + 2q4 + (-4q * q2 + 7q2 * q2) = 0 -5q3 + 2q4 + (-4q3 + 7q4) = 0 Reorder the terms: -5q3 + -4q3 + 2q4 + 7q4 = 0 Combine like terms: -5q3 + -4q3 = -9q3 -9q3 + 2q4 + 7q4 = 0 Combine like terms: 2q4 + 7q4 = 9q4 -9q3 + 9q4 = 0 Solving -9q3 + 9q4 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '9q3'. 9q3(-1 + q) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'q3' equal to zero and attempt to solve: Simplifying q3 = 0 Solving q3 = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q3 = 0 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 '(-1 + q)' equal to zero and attempt to solve: Simplifying -1 + q = 0 Solving -1 + q = 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 + q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + q = 0 + 1 q = 0 + 1 Combine like terms: 0 + 1 = 1 q = 1 Simplifying q = 1Solution
q = {1}
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