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Simplifying x2 + -1xp + -12p2 = 0 Reorder the terms: -1px + -12p2 + x2 = 0 Solving -1px + -12p2 + x2 = 0 Solving for variable 'p'. Factor a trinomial. (-3p + -1x)(4p + -1x) = 0Subproblem 1
Set the factor '(-3p + -1x)' equal to zero and attempt to solve: Simplifying -3p + -1x = 0 Solving -3p + -1x = 0 Move all terms containing p to the left, all other terms to the right. Add 'x' to each side of the equation. -3p + -1x + x = 0 + x Combine like terms: -1x + x = 0 -3p + 0 = 0 + x -3p = 0 + x Remove the zero: -3p = x Divide each side by '-3'. p = -0.3333333333x Simplifying p = -0.3333333333xSubproblem 2
Set the factor '(4p + -1x)' equal to zero and attempt to solve: Simplifying 4p + -1x = 0 Solving 4p + -1x = 0 Move all terms containing p to the left, all other terms to the right. Add 'x' to each side of the equation. 4p + -1x + x = 0 + x Combine like terms: -1x + x = 0 4p + 0 = 0 + x 4p = 0 + x Remove the zero: 4p = x Divide each side by '4'. p = 0.25x Simplifying p = 0.25xSolution
p = {-0.3333333333x, 0.25x}
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