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