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Simplifying 28(p2 + -1) = 33p Reorder the terms: 28(-1 + p2) = 33p (-1 * 28 + p2 * 28) = 33p (-28 + 28p2) = 33p Solving -28 + 28p2 = 33p Solving for variable 'p'. Reorder the terms: -28 + -33p + 28p2 = 33p + -33p Combine like terms: 33p + -33p = 0 -28 + -33p + 28p2 = 0 Factor a trinomial. (-4 + -7p)(7 + -4p) = 0Subproblem 1
Set the factor '(-4 + -7p)' equal to zero and attempt to solve: Simplifying -4 + -7p = 0 Solving -4 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7p = 0 + 4 -7p = 0 + 4 Combine like terms: 0 + 4 = 4 -7p = 4 Divide each side by '-7'. p = -0.5714285714 Simplifying p = -0.5714285714Subproblem 2
Set the factor '(7 + -4p)' equal to zero and attempt to solve: Simplifying 7 + -4p = 0 Solving 7 + -4p = 0 Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -4p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4p = 0 + -7 -4p = 0 + -7 Combine like terms: 0 + -7 = -7 -4p = -7 Divide each side by '-4'. p = 1.75 Simplifying p = 1.75Solution
p = {-0.5714285714, 1.75}
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