(5p-5)(7p+6)=

Solution for (5p-5)(7p+6)= equation:

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.
Subproblem 1
Set the factor '(-6 + -7p)' equal to zero and attempt to solve:

Simplifying
-6 + -7p = 0

Solving
-6 + -7p = 0

Move all terms containing p to the left, all other terms to the right.

Add '6' to each side of the equation.
-6 + 6 + -7p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -7p = 0 + 6
-7p = 0 + 6

Combine like terms: 0 + 6 = 6
-7p = 6

Divide each side by '-7'.
p = -0.8571428571

Simplifying
p = -0.8571428571
Subproblem 2
Set the factor '(1 + -1p)' equal to zero and attempt to solve:

Simplifying
1 + -1p = 0

Solving
1 + -1p = 0

Move all terms containing p to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1p = 0 + -1
-1p = 0 + -1

Combine like terms: 0 + -1 = -1
-1p = -1

Divide each side by '-1'.
p = 1

Simplifying
p = 1
Solution
p = {-0.8571428571, 1}