56p^2+15p-56=0

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Solution for 56p^2+15p-56=0 equation:


Simplifying
56p2 + 15p + -56 = 0

Reorder the terms:
-56 + 15p + 56p2 = 0

Solving
-56 + 15p + 56p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-8 + -7p)(7 + -8p) = 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 + -8p)' equal to zero and attempt to solve: Simplifying 7 + -8p = 0 Solving 7 + -8p = 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 + -8p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8p = 0 + -7 -8p = 0 + -7 Combine like terms: 0 + -7 = -7 -8p = -7 Divide each side by '-8'. p = 0.875 Simplifying p = 0.875

Solution

p = {-1.142857143, 0.875}

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