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Simplifying P4 + 3 = 12 Reorder the terms: 3 + P4 = 12 Solving 3 + P4 = 12 Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + P4 = 12 + -3 Combine like terms: 3 + -3 = 0 0 + P4 = 12 + -3 P4 = 12 + -3 Combine like terms: 12 + -3 = 9 P4 = 9 Simplifying P4 = 9 Reorder the terms: -9 + P4 = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + P4 = 0 Factor a difference between two squares. (3 + P2)(-3 + P2) = 0Subproblem 1
Set the factor '(3 + P2)' equal to zero and attempt to solve: Simplifying 3 + P2 = 0 Solving 3 + P2 = 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 + P2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + P2 = 0 + -3 P2 = 0 + -3 Combine like terms: 0 + -3 = -3 P2 = -3 Simplifying P2 = -3 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 + P2)' equal to zero and attempt to solve: Simplifying -3 + P2 = 0 Solving -3 + P2 = 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 + P2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + P2 = 0 + 3 P2 = 0 + 3 Combine like terms: 0 + 3 = 3 P2 = 3 Simplifying P2 = 3 Take the square root of each side: P = {-1.732050808, 1.732050808}Solution
P = {-1.732050808, 1.732050808}
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