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Simplifying 2p(90q + 36) = 156 Reorder the terms: 2p(36 + 90q) = 156 (36 * 2p + 90q * 2p) = 156 (72p + 180pq) = 156 Solving 72p + 180pq = 156 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Reorder the terms: -156 + 72p + 180pq = 156 + -156 Combine like terms: 156 + -156 = 0 -156 + 72p + 180pq = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-13 + 6p + 15pq) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-13 + 6p + 15pq)' equal to zero and attempt to solve: Simplifying -13 + 6p + 15pq = 0 Solving -13 + 6p + 15pq = 0 Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 6p + 13 + 15pq = 0 + 13 Reorder the terms: -13 + 13 + 6p + 15pq = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 6p + 15pq = 0 + 13 6p + 15pq = 0 + 13 Combine like terms: 0 + 13 = 13 6p + 15pq = 13 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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