(z-15)x(z+2)=

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Solution for (z-15)x(z+2)= equation: 


Simplifying
(z + -15) * x(z + 2) = 0

Reorder the terms:
(-15 + z) * x(z + 2) = 0

Reorder the terms:
(-15 + z) * x(2 + z) = 0

Reorder the terms for easier multiplication:
x(-15 + z)(2 + z) = 0

Multiply (-15 + z) * (2 + z)
x(-15(2 + z) + z(2 + z)) = 0
x((2 * -15 + z * -15) + z(2 + z)) = 0
x((-30 + -15z) + z(2 + z)) = 0
x(-30 + -15z + (2 * z + z * z)) = 0
x(-30 + -15z + (2z + z2)) = 0

Combine like terms: -15z + 2z = -13z
x(-30 + -13z + z2) = 0
(-30 * x + -13z * x + z2 * x) = 0
(-30x + -13xz + xz2) = 0

Solving
-30x + -13xz + xz2 = 0

Solving for variable 'x'.

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

Factor out the Greatest Common Factor (GCF), 'x'.
x(-30 + -13z + z2) = 0

Factor a trinomial.
x((-2 + -1z)(15 + -1z)) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
-2 + -1z = 0

Solving
-2 + -1z = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1z = 0 + 2

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

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

Add 'z' to each side of the equation.
-1z + z = 2 + z

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

Simplifying
0 = 2 + z

The solution to this equation could not be determined.

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

Subproblem 3
Set the factor '(15 + -1z)' equal to zero and attempt to solve:

Simplifying
15 + -1z = 0

Solving
15 + -1z = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1z = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1z = 0 + -15
-1z = 0 + -15

Combine like terms: 0 + -15 = -15
-1z = -15

Add 'z' to each side of the equation.
-1z + z = -15 + z

Combine like terms: -1z + z = 0
0 = -15 + z

Simplifying
0 = -15 + z

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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