-11p=-4p^2-7

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Solution for -11p=-4p^2-7 equation:


Simplifying
-11p = -4p2 + -7

Reorder the terms:
-11p = -7 + -4p2

Solving
-11p = -7 + -4p2

Solving for variable 'p'.

Reorder the terms:
7 + -11p + 4p2 = -7 + -4p2 + 7 + 4p2

Reorder the terms:
7 + -11p + 4p2 = -7 + 7 + -4p2 + 4p2

Combine like terms: -7 + 7 = 0
7 + -11p + 4p2 = 0 + -4p2 + 4p2
7 + -11p + 4p2 = -4p2 + 4p2

Combine like terms: -4p2 + 4p2 = 0
7 + -11p + 4p2 = 0

Factor a trinomial.
(1 + -1p)(7 + -4p) = 0

Subproblem 1

Set the factor '(1 + -1p)' equal to zero and attempt to solve: Simplifying 1 + -1p = 0 Solving 1 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1p = 0 + -1 -1p = 0 + -1 Combine like terms: 0 + -1 = -1 -1p = -1 Divide each side by '-1'. p = 1 Simplifying p = 1

Subproblem 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 = 1.75

Solution

p = {1, 1.75}

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