20p^2=12-14p

Solution for 20p^2=12-14p equation:

Simplifying
20p2 = 12 + -14p

Solving
20p2 = 12 + -14p

Solving for variable 'p'.

Reorder the terms:
-12 + 14p + 20p2 = 12 + -14p + -12 + 14p

Reorder the terms:
-12 + 14p + 20p2 = 12 + -12 + -14p + 14p

Combine like terms: 12 + -12 = 0
-12 + 14p + 20p2 = 0 + -14p + 14p
-12 + 14p + 20p2 = -14p + 14p

Combine like terms: -14p + 14p = 0
-12 + 14p + 20p2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-6 + 7p + 10p2) = 0

Factor a trinomial.
2((-6 + -5p)(1 + -2p)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-6 + -5p)' equal to zero and attempt to solve:

Simplifying
-6 + -5p = 0

Solving
-6 + -5p = 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 + -5p = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5p = 0 + 6
-5p = 0 + 6

Combine like terms: 0 + 6 = 6
-5p = 6

Divide each side by '-5'.
p = -1.2

Simplifying
p = -1.2
Subproblem 2
Set the factor '(1 + -2p)' equal to zero and attempt to solve:

Simplifying
1 + -2p = 0

Solving
1 + -2p = 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 + -2p = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2p = 0 + -1
-2p = 0 + -1

Combine like terms: 0 + -1 = -1
-2p = -1

Divide each side by '-2'.
p = 0.5

Simplifying
p = 0.5
Solution
p = {-1.2, 0.5}