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Simplifying 5q2 = 7q Solving 5q2 = 7q Solving for variable 'q'. Reorder the terms: -7q + 5q2 = 7q + -7q Combine like terms: 7q + -7q = 0 -7q + 5q2 = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(-7 + 5q) = 0Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(-7 + 5q)' equal to zero and attempt to solve: Simplifying -7 + 5q = 0 Solving -7 + 5q = 0 Move all terms containing q to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 5q = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5q = 0 + 7 5q = 0 + 7 Combine like terms: 0 + 7 = 7 5q = 7 Divide each side by '5'. q = 1.4 Simplifying q = 1.4Solution
q = {0, 1.4}
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