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Simplifying 3p3 = 21p Solving 3p3 = 21p Solving for variable 'p'. Reorder the terms: -21p + 3p3 = 21p + -21p Combine like terms: 21p + -21p = 0 -21p + 3p3 = 0 Factor out the Greatest Common Factor (GCF), '3p'. 3p(-7 + p2) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'p' equal to zero and attempt to solve: Simplifying p = 0 Solving p = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p = 0Subproblem 2
Set the factor '(-7 + p2)' equal to zero and attempt to solve: Simplifying -7 + p2 = 0 Solving -7 + p2 = 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 + p2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + p2 = 0 + 7 p2 = 0 + 7 Combine like terms: 0 + 7 = 7 p2 = 7 Simplifying p2 = 7 Take the square root of each side: p = {-2.645751311, 2.645751311}Solution
p = {0, -2.645751311, 2.645751311}
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