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Simplifying 4p4 + -25p2 = 16p2 Reorder the terms: -25p2 + 4p4 = 16p2 Solving -25p2 + 4p4 = 16p2 Solving for variable 'p'. Reorder the terms: -25p2 + -16p2 + 4p4 = 16p2 + -16p2 Combine like terms: -25p2 + -16p2 = -41p2 -41p2 + 4p4 = 16p2 + -16p2 Combine like terms: 16p2 + -16p2 = 0 -41p2 + 4p4 = 0 Factor out the Greatest Common Factor (GCF), 'p2'. p2(-41 + 4p2) = 0Subproblem 1
Set the factor 'p2' equal to zero and attempt to solve: Simplifying p2 = 0 Solving p2 = 0 Move all terms containing p to the left, all other terms to the right. Simplifying p2 = 0 Take the square root of each side: p = {0}Subproblem 2
Set the factor '(-41 + 4p2)' equal to zero and attempt to solve: Simplifying -41 + 4p2 = 0 Solving -41 + 4p2 = 0 Move all terms containing p to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + 4p2 = 0 + 41 Combine like terms: -41 + 41 = 0 0 + 4p2 = 0 + 41 4p2 = 0 + 41 Combine like terms: 0 + 41 = 41 4p2 = 41 Divide each side by '4'. p2 = 10.25 Simplifying p2 = 10.25 Take the square root of each side: p = {-3.201562119, 3.201562119}Solution
p = {0, -3.201562119, 3.201562119}
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