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Simplifying (10q3 + -10q2) + -1(10q2 + -10q3) = 0 Reorder the terms: (-10q2 + 10q3) + -1(10q2 + -10q3) = 0 Remove parenthesis around (-10q2 + 10q3) -10q2 + 10q3 + -1(10q2 + -10q3) = 0 -10q2 + 10q3 + (10q2 * -1 + -10q3 * -1) = 0 -10q2 + 10q3 + (-10q2 + 10q3) = 0 Reorder the terms: -10q2 + -10q2 + 10q3 + 10q3 = 0 Combine like terms: -10q2 + -10q2 = -20q2 -20q2 + 10q3 + 10q3 = 0 Combine like terms: 10q3 + 10q3 = 20q3 -20q2 + 20q3 = 0 Solving -20q2 + 20q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '20q2'. 20q2(-1 + q) = 0 Ignore the factor 20.Subproblem 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 + 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 = {0, 1}
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