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Simplifying 30qpr + -5qpt + 50q = 0 Solving 30pqr + -5pqt + 50q = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-50q' to each side of the equation. 30pqr + -5pqt + 50q + -50q = 0 + -50q Combine like terms: 50q + -50q = 0 30pqr + -5pqt + 0 = 0 + -50q 30pqr + -5pqt = 0 + -50q Remove the zero: 30pqr + -5pqt = -50q Combine like terms: -50q + 50q = 0 30pqr + -5pqt + 50q = 0 Factor out the Greatest Common Factor (GCF), '5q'. 5q(6pr + -1pt + 10) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing p to the left, all other terms to the right. Add '-1q' to each side of the equation. q + -1q = 0 + -1q Remove the zero: 0 = -1q Simplifying 0 = -1q 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 '(6pr + -1pt + 10)' equal to zero and attempt to solve: Simplifying 6pr + -1pt + 10 = 0 Reorder the terms: 10 + 6pr + -1pt = 0 Solving 10 + 6pr + -1pt = 0 Move all terms containing p to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 6pr + -10 + -1pt = 0 + -10 Reorder the terms: 10 + -10 + 6pr + -1pt = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 6pr + -1pt = 0 + -10 6pr + -1pt = 0 + -10 Combine like terms: 0 + -10 = -10 6pr + -1pt = -10 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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