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Simplifying 21(p2 + -1) = 40p Reorder the terms: 21(-1 + p2) = 40p (-1 * 21 + p2 * 21) = 40p (-21 + 21p2) = 40p Solving -21 + 21p2 = 40p Solving for variable 'p'. Reorder the terms: -21 + -40p + 21p2 = 40p + -40p Combine like terms: 40p + -40p = 0 -21 + -40p + 21p2 = 0 Factor a trinomial. (-3 + -7p)(7 + -3p) = 0Subproblem 1
Set the factor '(-3 + -7p)' equal to zero and attempt to solve: Simplifying -3 + -7p = 0 Solving -3 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7p = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7p = 0 + 3 -7p = 0 + 3 Combine like terms: 0 + 3 = 3 -7p = 3 Divide each side by '-7'. p = -0.4285714286 Simplifying p = -0.4285714286Subproblem 2
Set the factor '(7 + -3p)' equal to zero and attempt to solve: Simplifying 7 + -3p = 0 Solving 7 + -3p = 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 + -3p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = 0 + -7 -3p = 0 + -7 Combine like terms: 0 + -7 = -7 -3p = -7 Divide each side by '-3'. p = 2.333333333 Simplifying p = 2.333333333Solution
p = {-0.4285714286, 2.333333333}
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