7p^2-35p+6=6

Solution for 7p^2-35p+6=6 equation:

Simplifying
7p2 + -35p + 6 = 6

Reorder the terms:
6 + -35p + 7p2 = 6

Add '-6' to each side of the equation.
6 + -35p + -6 + 7p2 = 6 + -6

Reorder the terms:
6 + -6 + -35p + 7p2 = 6 + -6

Combine like terms: 6 + -6 = 0
0 + -35p + 7p2 = 6 + -6
-35p + 7p2 = 6 + -6

Combine like terms: 6 + -6 = 0
-35p + 7p2 = 0

Solving
-35p + 7p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '7p'.
7p(-5 + p) = 0

Ignore the factor 7.
Subproblem 1
Set the factor 'p' equal to zero and attempt to solve:

Simplifying
p = 0

Solving
p = 0

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

Simplifying
p = 0
Subproblem 2
Set the factor '(-5 + p)' equal to zero and attempt to solve:

Simplifying
-5 + p = 0

Solving
-5 + p = 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 + p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + p = 0 + 5
p = 0 + 5

Combine like terms: 0 + 5 = 5
p = 5

Simplifying
p = 5
Solution
p = {0, 5}