7p^2-57p+56=0

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Solution for 7p^2-57p+56=0 equation:


Simplifying
7p2 + -57p + 56 = 0

Reorder the terms:
56 + -57p + 7p2 = 0

Solving
56 + -57p + 7p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(8 + -7p)(7 + -1p) = 0

Subproblem 1

Set the factor '(8 + -7p)' equal to zero and attempt to solve: Simplifying 8 + -7p = 0 Solving 8 + -7p = 0 Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -7p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -7p = 0 + -8 -7p = 0 + -8 Combine like terms: 0 + -8 = -8 -7p = -8 Divide each side by '-7'. p = 1.142857143 Simplifying p = 1.142857143

Subproblem 2

Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7

Solution

p = {1.142857143, 7}

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