10p+3p^2=-3

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Solution for 10p+3p^2=-3 equation:


Simplifying
10p + 3p2 = -3

Solving
10p + 3p2 = -3

Solving for variable 'p'.

Reorder the terms:
3 + 10p + 3p2 = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 10p + 3p2 = 0

Factor a trinomial.
(3 + p)(1 + 3p) = 0

Subproblem 1

Set the factor '(3 + p)' equal to zero and attempt to solve: Simplifying 3 + p = 0 Solving 3 + p = 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 + p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + p = 0 + -3 p = 0 + -3 Combine like terms: 0 + -3 = -3 p = -3 Simplifying p = -3

Subproblem 2

Set the factor '(1 + 3p)' equal to zero and attempt to solve: Simplifying 1 + 3p = 0 Solving 1 + 3p = 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 + 3p = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 0 + -1 3p = 0 + -1 Combine like terms: 0 + -1 = -1 3p = -1 Divide each side by '3'. p = -0.3333333333 Simplifying p = -0.3333333333

Solution

p = {-3, -0.3333333333}

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