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Simplifying (x2)(p2) + xyp + -1((6)(y2)) = 0 Multiply x2 * p2 p2x2 + xyp + -1((6)(y2)) = 0 Remove parenthesis around (6y2) p2x2 + pxy + -1 * 6y2 = 0 Multiply -1 * 6 p2x2 + pxy + -6y2 = 0 Reorder the terms: pxy + p2x2 + -6y2 = 0 Solving pxy + p2x2 + -6y2 = 0 Solving for variable 'p'. Factor a trinomial. (px + -2y)(px + 3y) = 0Subproblem 1
Set the factor '(px + -2y)' equal to zero and attempt to solve: Simplifying px + -2y = 0 Solving px + -2y = 0 Move all terms containing p to the left, all other terms to the right. Add '2y' to each side of the equation. px + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 px + 0 = 0 + 2y px = 0 + 2y Remove the zero: px = 2y Divide each side by 'x'. p = 2x-1y Simplifying p = 2x-1ySubproblem 2
Set the factor '(px + 3y)' equal to zero and attempt to solve: Simplifying px + 3y = 0 Solving px + 3y = 0 Move all terms containing p to the left, all other terms to the right. Add '-3y' to each side of the equation. px + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 px + 0 = 0 + -3y px = 0 + -3y Remove the zero: px = -3y Divide each side by 'x'. p = -3x-1y Simplifying p = -3x-1ySolution
p = {2x-1y, -3x-1y}
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