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Simplifying 12p5 = 6p3 Solving 12p5 = 6p3 Solving for variable 'p'. Reorder the terms: -6p3 + 12p5 = 6p3 + -6p3 Combine like terms: 6p3 + -6p3 = 0 -6p3 + 12p5 = 0 Factor out the Greatest Common Factor (GCF), '6p3'. 6p3(-1 + 2p2) = 0 Ignore the factor 6.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 '(-1 + 2p2)' equal to zero and attempt to solve: Simplifying -1 + 2p2 = 0 Solving -1 + 2p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2p2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2p2 = 0 + 1 2p2 = 0 + 1 Combine like terms: 0 + 1 = 1 2p2 = 1 Divide each side by '2'. p2 = 0.5 Simplifying p2 = 0.5 Take the square root of each side: p = {-0.707106781, 0.707106781}Solution
p = {-0.707106781, 0.707106781}
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