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Simplifying 24p5 = 56p3 Solving 24p5 = 56p3 Solving for variable 'p'. Reorder the terms: -56p3 + 24p5 = 56p3 + -56p3 Combine like terms: 56p3 + -56p3 = 0 -56p3 + 24p5 = 0 Factor out the Greatest Common Factor (GCF), '8p3'. 8p3(-7 + 3p2) = 0 Ignore the factor 8.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 '(-7 + 3p2)' equal to zero and attempt to solve: Simplifying -7 + 3p2 = 0 Solving -7 + 3p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3p2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3p2 = 0 + 7 3p2 = 0 + 7 Combine like terms: 0 + 7 = 7 3p2 = 7 Divide each side by '3'. p2 = 2.333333333 Simplifying p2 = 2.333333333 Take the square root of each side: p = {-1.527525232, 1.527525232}Solution
p = {-1.527525232, 1.527525232}
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