60p^2+78p-84=0

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Solution for 60p^2+78p-84=0 equation:


Simplifying
60p2 + 78p + -84 = 0

Reorder the terms:
-84 + 78p + 60p2 = 0

Solving
-84 + 78p + 60p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-14 + 13p + 10p2) = 0

Factor a trinomial.
6((-2 + -1p)(7 + -10p)) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-2 + -1p)' equal to zero and attempt to solve: Simplifying -2 + -1p = 0 Solving -2 + -1p = 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 + -1p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = 0 + 2 -1p = 0 + 2 Combine like terms: 0 + 2 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2

Subproblem 2

Set the factor '(7 + -10p)' equal to zero and attempt to solve: Simplifying 7 + -10p = 0 Solving 7 + -10p = 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 + -10p = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10p = 0 + -7 -10p = 0 + -7 Combine like terms: 0 + -7 = -7 -10p = -7 Divide each side by '-10'. p = 0.7 Simplifying p = 0.7

Solution

p = {-2, 0.7}

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