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Simplifying 8t2p + 10t3p5 = 2t2p Solving 8pt2 + 10p5t3 = 2pt2 Solving for variable 'p'. Reorder the terms: 8pt2 + -2pt2 + 10p5t3 = 2pt2 + -2pt2 Combine like terms: 8pt2 + -2pt2 = 6pt2 6pt2 + 10p5t3 = 2pt2 + -2pt2 Combine like terms: 2pt2 + -2pt2 = 0 6pt2 + 10p5t3 = 0 Factor out the Greatest Common Factor (GCF), '2pt2'. 2pt2(3 + 5p4t) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'pt2' equal to zero and attempt to solve: Simplifying pt2 = 0 Solving pt2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying pt2 = 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 + 5p4t)' equal to zero and attempt to solve: Simplifying 3 + 5p4t = 0 Solving 3 + 5p4t = 0 Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5p4t = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5p4t = 0 + -3 5p4t = 0 + -3 Combine like terms: 0 + -3 = -3 5p4t = -3 Divide each side by '5t'. p4 = -0.6t-1 Simplifying p4 = -0.6t-1 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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