Answer:
Step-by-step explanation:
Simplifying
(5p + -5)(7p + 6) = 0
Reorder the terms:
(-5 + 5p)(7p + 6) = 0
Reorder the terms:
(-5 + 5p)(6 + 7p) = 0
Multiply (-5 + 5p) * (6 + 7p)
(-5(6 + 7p) + 5p * (6 + 7p)) = 0
((6 * -5 + 7p * -5) + 5p * (6 + 7p)) = 0
((-30 + -35p) + 5p * (6 + 7p)) = 0
(-30 + -35p + (6 * 5p + 7p * 5p)) = 0
(-30 + -35p + (30p + 35p2)) = 0
Combine like terms: -35p + 30p = -5p
(-30 + -5p + 35p2) = 0
Solving
-30 + -5p + 35p2 = 0
Solving for variable 'p'.
Factor out the Greatest Common Factor (GCF), '5'.
5(-6 + -1p + 7p2) = 0
Factor a trinomial.
5((-6 + -7p)(1 + -1p)) = 0
Ignore the factor 5.
