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Simplifying 4p2 + -10 = 3p Reorder the terms: -10 + 4p2 = 3p Solving -10 + 4p2 = 3p Solving for variable 'p'. Reorder the terms: -10 + -3p + 4p2 = 3p + -3p Combine like terms: 3p + -3p = 0 -10 + -3p + 4p2 = 0 Factor a trinomial. (-5 + -4p)(2 + -1p) = 0Subproblem 1
Set the factor '(-5 + -4p)' equal to zero and attempt to solve: Simplifying -5 + -4p = 0 Solving -5 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4p = 0 + 5 -4p = 0 + 5 Combine like terms: 0 + 5 = 5 -4p = 5 Divide each side by '-4'. p = -1.25 Simplifying p = -1.25Subproblem 2
Set the factor '(2 + -1p)' equal to zero and attempt to solve: Simplifying 2 + -1p = 0 Solving 2 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1p = 0 + -2 -1p = 0 + -2 Combine like terms: 0 + -2 = -2 -1p = -2 Divide each side by '-1'. p = 2 Simplifying p = 2Solution
p = {-1.25, 2}
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