18p^2+21p-15=0

Solution for 18p^2+21p-15=0 equation:

Simplifying
18p2 + 21p + -15 = 0

Reorder the terms:
-15 + 21p + 18p2 = 0

Solving
-15 + 21p + 18p2 = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + 7p + 6p2) = 0

Factor a trinomial.
3((-5 + -3p)(1 + -2p)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-5 + -3p)' equal to zero and attempt to solve:

Simplifying
-5 + -3p = 0

Solving
-5 + -3p = 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 + -3p = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -3p = 0 + 5
-3p = 0 + 5

Combine like terms: 0 + 5 = 5
-3p = 5

Divide each side by '-3'.
p = -1.666666667

Simplifying
p = -1.666666667
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 = {-1.666666667, 0.5}