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Simplifying sq(4v + 13) = sq(6v + 7) Reorder the terms: qs(13 + 4v) = sq(6v + 7) (13 * qs + 4v * qs) = sq(6v + 7) (13qs + 4qsv) = sq(6v + 7) Reorder the terms: 13qs + 4qsv = qs(7 + 6v) 13qs + 4qsv = (7 * qs + 6v * qs) 13qs + 4qsv = (7qs + 6qsv) Solving 13qs + 4qsv = 7qs + 6qsv Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7qs' to each side of the equation. 13qs + -7qs + 4qsv = 7qs + -7qs + 6qsv Combine like terms: 13qs + -7qs = 6qs 6qs + 4qsv = 7qs + -7qs + 6qsv Combine like terms: 7qs + -7qs = 0 6qs + 4qsv = 0 + 6qsv 6qs + 4qsv = 6qsv Add '-6qsv' to each side of the equation. 6qs + 4qsv + -6qsv = 6qsv + -6qsv Combine like terms: 4qsv + -6qsv = -2qsv 6qs + -2qsv = 6qsv + -6qsv Combine like terms: 6qsv + -6qsv = 0 6qs + -2qsv = 0 Factor out the Greatest Common Factor (GCF), '2qs'. 2qs(3 + -1v) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'qs' equal to zero and attempt to solve: Simplifying qs = 0 Solving qs = 0 Move all terms containing q to the left, all other terms to the right. Simplifying qs = 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 '(3 + -1v)' equal to zero and attempt to solve: Simplifying 3 + -1v = 0 Solving 3 + -1v = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1v = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1v = 0 + -3 -1v = 0 + -3 Combine like terms: 0 + -3 = -3 -1v = -3 Add 'v' to each side of the equation. -1v + v = -3 + v Combine like terms: -1v + v = 0 0 = -3 + v Simplifying 0 = -3 + v 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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