(p-5)x(3p+2)=

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Solution for (p-5)x(3p+2)= equation: 


Simplifying
(p + -5) * x(3p + 2) = 0

Reorder the terms:
(-5 + p) * x(3p + 2) = 0

Reorder the terms:
(-5 + p) * x(2 + 3p) = 0

Reorder the terms for easier multiplication:
x(-5 + p)(2 + 3p) = 0

Multiply (-5 + p) * (2 + 3p)
x(-5(2 + 3p) + p(2 + 3p)) = 0
x((2 * -5 + 3p * -5) + p(2 + 3p)) = 0
x((-10 + -15p) + p(2 + 3p)) = 0
x(-10 + -15p + (2 * p + 3p * p)) = 0
x(-10 + -15p + (2p + 3p2)) = 0

Combine like terms: -15p + 2p = -13p
x(-10 + -13p + 3p2) = 0
(-10 * x + -13p * x + 3p2 * x) = 0

Reorder the terms:
(-13px + 3p2x + -10x) = 0
(-13px + 3p2x + -10x) = 0

Solving
-13px + 3p2x + -10x = 0

Solving for variable 'p'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13p + 3p2 + -10) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

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

Simplifying
p + -5 = 0

Reorder the terms:
-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

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

Simplifying
3p + 2 = 0

Reorder the terms:
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
Solution
p = {5, -0.6666666667}

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