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Simplifying 25kp + 15pq + -30kq = 0 Reorder the terms: 25kp + -30kq + 15pq = 0 Solving 25kp + -30kq + 15pq = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15pq' to each side of the equation. 25kp + -30kq + 15pq + -15pq = 0 + -15pq Combine like terms: 15pq + -15pq = 0 25kp + -30kq + 0 = 0 + -15pq 25kp + -30kq = 0 + -15pq Remove the zero: 25kp + -30kq = -15pq Combine like terms: -15pq + 15pq = 0 25kp + -30kq + 15pq = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(5kp + -6kq + 3pq) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5kp + -6kq + 3pq)' equal to zero and attempt to solve: Simplifying 5kp + -6kq + 3pq = 0 Solving 5kp + -6kq + 3pq = 0 Move all terms containing k to the left, all other terms to the right. Add '-3pq' to each side of the equation. 5kp + -6kq + 3pq + -3pq = 0 + -3pq Combine like terms: 3pq + -3pq = 0 5kp + -6kq + 0 = 0 + -3pq 5kp + -6kq = 0 + -3pq Remove the zero: 5kp + -6kq = -3pq 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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