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Simplifying 3p3(16p2 + -3) = 0 Reorder the terms: 3p3(-3 + 16p2) = 0 (-3 * 3p3 + 16p2 * 3p3) = 0 (-9p3 + 48p5) = 0 Solving -9p3 + 48p5 = 0 Solving for variable 'p'. Factor out the Greatest Common Factor (GCF), '3p3'. 3p3(-3 + 16p2) = 0 Ignore the factor 3.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 + 16p2)' equal to zero and attempt to solve: Simplifying -3 + 16p2 = 0 Solving -3 + 16p2 = 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 + 16p2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 16p2 = 0 + 3 16p2 = 0 + 3 Combine like terms: 0 + 3 = 3 16p2 = 3 Divide each side by '16'. p2 = 0.1875 Simplifying p2 = 0.1875 Take the square root of each side: p = {-0.433012702, 0.433012702}Solution
p = {-0.433012702, 0.433012702}
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