4p^2-12p=-9

Solution for 4p^2-12p=-9 equation:

Simplifying
4p2 + -12p = -9

Reorder the terms:
-12p + 4p2 = -9

Solving
-12p + 4p2 = -9

Solving for variable 'p'.

Reorder the terms:
9 + -12p + 4p2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + -12p + 4p2 = 0

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

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

Simplifying
3 + -2p = 0

Solving
3 + -2p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2p = 0 + -3

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Subproblem 2
Set the factor '(3 + -2p)' equal to zero and attempt to solve:

Simplifying
3 + -2p = 0

Solving
3 + -2p = 0

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

Add '-3' to each side of the equation.
3 + -3 + -2p = 0 + -3

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

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

Divide each side by '-2'.
p = 1.5

Simplifying
p = 1.5
Solution
p = {1.5, 1.5}