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Simplifying 45p5 = 27p3 Solving 45p5 = 27p3 Solving for variable 'p'. Reorder the terms: -27p3 + 45p5 = 27p3 + -27p3 Combine like terms: 27p3 + -27p3 = 0 -27p3 + 45p5 = 0 Factor out the Greatest Common Factor (GCF), '9p3'. 9p3(-3 + 5p2) = 0 Ignore the factor 9.Subproblem 1
Set the factor 'p3' equal to zero and attempt to solve: Simplifying p3 = 0 Solving p3 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p3 = 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 + 5p2)' equal to zero and attempt to solve: Simplifying -3 + 5p2 = 0 Solving -3 + 5p2 = 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 + 5p2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5p2 = 0 + 3 5p2 = 0 + 3 Combine like terms: 0 + 3 = 3 5p2 = 3 Divide each side by '5'. p2 = 0.6 Simplifying p2 = 0.6 Take the square root of each side: p = {-0.774596669, 0.774596669}Solution
p = {-0.774596669, 0.774596669}
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