3p^2-25=-10p

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Solution for 3p^2-25=-10p equation:


Simplifying
3p2 + -25 = -10p

Reorder the terms:
-25 + 3p2 = -10p

Solving
-25 + 3p2 = -10p

Solving for variable 'p'.

Reorder the terms:
-25 + 10p + 3p2 = -10p + 10p

Combine like terms: -10p + 10p = 0
-25 + 10p + 3p2 = 0

Factor a trinomial.
(-5 + -1p)(5 + -3p) = 0

Subproblem 1

Set the factor '(-5 + -1p)' equal to zero and attempt to solve: Simplifying -5 + -1p = 0 Solving -5 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1p = 0 + 5 -1p = 0 + 5 Combine like terms: 0 + 5 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5

Subproblem 2

Set the factor '(5 + -3p)' equal to zero and attempt to solve: Simplifying 5 + -3p = 0 Solving 5 + -3p = 0 Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3p = 0 + -5 -3p = 0 + -5 Combine like terms: 0 + -5 = -5 -3p = -5 Divide each side by '-3'. p = 1.666666667 Simplifying p = 1.666666667

Solution

p = {-5, 1.666666667}

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