6p^2-10p+6=2

Solution for 6p^2-10p+6=2 equation:

Simplifying
6p2 + -10p + 6 = 2

Reorder the terms:
6 + -10p + 6p2 = 2

Solving
6 + -10p + 6p2 = 2

Solving for variable 'p'.

Reorder the terms:
6 + -2 + -10p + 6p2 = 2 + -2

Combine like terms: 6 + -2 = 4
4 + -10p + 6p2 = 2 + -2

Combine like terms: 2 + -2 = 0
4 + -10p + 6p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -5p + 3p2) = 0

Factor a trinomial.
2((2 + -3p)(1 + -1p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(2 + -3p)' equal to zero and attempt to solve:

Simplifying
2 + -3p = 0

Solving
2 + -3p = 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 + -3p = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3p = 0 + -2
-3p = 0 + -2

Combine like terms: 0 + -2 = -2
-3p = -2

Divide each side by '-3'.
p = 0.6666666667

Simplifying
p = 0.6666666667
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 = {0.6666666667, 1}