x(24-2x)(45-2x)=

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Solution for x(24-2x)(45-2x)= equation: 


Simplifying
x(24 + -2x)(45 + -2x) = 0

Multiply (24 + -2x) * (45 + -2x)
x(24(45 + -2x) + -2x * (45 + -2x)) = 0
x((45 * 24 + -2x * 24) + -2x * (45 + -2x)) = 0
x((1080 + -48x) + -2x * (45 + -2x)) = 0
x(1080 + -48x + (45 * -2x + -2x * -2x)) = 0
x(1080 + -48x + (-90x + 4x2)) = 0

Combine like terms: -48x + -90x = -138x
x(1080 + -138x + 4x2) = 0
(1080 * x + -138x * x + 4x2 * x) = 0
(1080x + -138x2 + 4x3) = 0

Solving
1080x + -138x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(540 + -69x + 2x2) = 0

Factor a trinomial.
2x((12 + -1x)(45 + -2x)) = 0

Ignore the factor 2.

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 '(12 + -1x)' equal to zero and attempt to solve:

Simplifying
12 + -1x = 0

Solving
12 + -1x = 0

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

Add '-12' to each side of the equation.
12 + -12 + -1x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -1x = 0 + -12
-1x = 0 + -12

Combine like terms: 0 + -12 = -12
-1x = -12

Divide each side by '-1'.
x = 12

Simplifying
x = 12

Subproblem 3
Set the factor '(45 + -2x)' equal to zero and attempt to solve:

Simplifying
45 + -2x = 0

Solving
45 + -2x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -2x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -2x = 0 + -45
-2x = 0 + -45

Combine like terms: 0 + -45 = -45
-2x = -45

Divide each side by '-2'.
x = 22.5

Simplifying
x = 22.5
Solution
x = {0, 12, 22.5}

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