3(p*p)+10p-8=0

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Solution for 3(p*p)+10p-8=0 equation:


Simplifying
3(p * p) + 10p + -8 = 0

Multiply p * p
3(p2) + 10p + -8 = 0

Reorder the terms:
-8 + 10p + 3p2 = 0

Solving
-8 + 10p + 3p2 = 0

Solving for variable 'p'.

Factor a trinomial.
(-4 + -1p)(2 + -3p) = 0

Subproblem 1

Set the factor '(-4 + -1p)' equal to zero and attempt to solve: Simplifying -4 + -1p = 0 Solving -4 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4

Subproblem 2

Set the factor '(2 + -3p)' equal to zero and attempt to solve: Simplifying 2 + -3p = 0 Solving 2 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3p = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3p = 0 + -2 -3p = 0 + -2 Combine like terms: 0 + -2 = -2 -3p = -2 Divide each side by '-3'. p = 0.6666666667 Simplifying p = 0.6666666667

Solution

p = {-4, 0.6666666667}

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