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Simplifying P4 + -9p2 = 0 Solving P4 + -9p2 = 0 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '9p2' to each side of the equation. P4 + -9p2 + 9p2 = 0 + 9p2 Combine like terms: -9p2 + 9p2 = 0 P4 + 0 = 0 + 9p2 P4 = 0 + 9p2 Remove the zero: P4 = 9p2 Simplifying P4 = 9p2 Combine like terms: 9p2 + -9p2 = 0 P4 + -9p2 = 0 Factor a difference between two squares. (P2 + 3p)(P2 + -3p) = 0Subproblem 1
Set the factor '(P2 + 3p)' equal to zero and attempt to solve: Simplifying P2 + 3p = 0 Solving P2 + 3p = 0 Move all terms containing P to the left, all other terms to the right. Add '-3p' to each side of the equation. P2 + 3p + -3p = 0 + -3p Combine like terms: 3p + -3p = 0 P2 + 0 = 0 + -3p P2 = 0 + -3p Remove the zero: P2 = -3p Simplifying P2 = -3p 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 '(P2 + -3p)' equal to zero and attempt to solve: Simplifying P2 + -3p = 0 Solving P2 + -3p = 0 Move all terms containing P to the left, all other terms to the right. Add '3p' to each side of the equation. P2 + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 P2 + 0 = 0 + 3p P2 = 0 + 3p Remove the zero: P2 = 3p Simplifying P2 = 3p The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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