Question

Factories: 18x^2-24x

Answer 1

Step-by-step explanation:

18x²-24x

=Taking '6x' common as a whole .

=6x(3x-4)

This is your answer .

Answer 2

Step-by-step explanation:

Simplifying

18x2 + 24x = 0

Reorder the terms:

24x + 18x2 = 0

Solving

24x + 18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6x'.

6x(4 + 3x) = 0

Ignore the factor 6.

Subproblem 1

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

Simplifying

x = 0

Solving

x = 0Move all terms containing x to the left, all other terms to the right.

Simplifying

x = 0

Subproblem 2

Set the factor '(4 + 3x)' equal to zero and attempt to solve:

Simplifying

4 + 3x = 0

Solving

4 + 3x = 0

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

Add '-4' to each side of the equation.

4 + -4 + 3x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + 3x = 0 + -4

3x = 0 + -4

Combine like terms: 0 + -4 = -4

3x = -4

Divide each side by '3'.

x = -1.333333333

Simplifying

x = -1.333333333

Solution

x = {0, -1.333333333}