p(p+3)=70

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Solution for p(p+3)=70 equation:


Simplifying
p(p + 3) = 70

Reorder the terms:
p(3 + p) = 70
(3 * p + p * p) = 70
(3p + p2) = 70

Solving
3p + p2 = 70

Solving for variable 'p'.

Reorder the terms:
-70 + 3p + p2 = 70 + -70

Combine like terms: 70 + -70 = 0
-70 + 3p + p2 = 0

Factor a trinomial.
(-10 + -1p)(7 + -1p) = 0

Subproblem 1

Set the factor '(-10 + -1p)' equal to zero and attempt to solve: Simplifying -10 + -1p = 0 Solving -10 + -1p = 0 Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1p = 0 + 10 -1p = 0 + 10 Combine like terms: 0 + 10 = 10 -1p = 10 Divide each side by '-1'. p = -10 Simplifying p = -10

Subproblem 2

Set the factor '(7 + -1p)' equal to zero and attempt to solve: Simplifying 7 + -1p = 0 Solving 7 + -1p = 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 + -1p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1p = 0 + -7 -1p = 0 + -7 Combine like terms: 0 + -7 = -7 -1p = -7 Divide each side by '-1'. p = 7 Simplifying p = 7

Solution

p = {-10, 7}

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