x(90-x)(60-2x)=0

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Solution for x(90-x)(60-2x)=0 equation: 


Simplifying
x(90 + -1x)(60 + -2x) = 0

Multiply (90 + -1x) * (60 + -2x)
x(90(60 + -2x) + -1x * (60 + -2x)) = 0
x((60 * 90 + -2x * 90) + -1x * (60 + -2x)) = 0
x((5400 + -180x) + -1x * (60 + -2x)) = 0
x(5400 + -180x + (60 * -1x + -2x * -1x)) = 0
x(5400 + -180x + (-60x + 2x2)) = 0

Combine like terms: -180x + -60x = -240x
x(5400 + -240x + 2x2) = 0
(5400 * x + -240x * x + 2x2 * x) = 0
(5400x + -240x2 + 2x3) = 0

Solving
5400x + -240x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(2700 + -120x + x2) = 0

Factor a trinomial.
2x((30 + -1x)(90 + -1x)) = 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 '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30

Subproblem 3
Set the factor '(90 + -1x)' equal to zero and attempt to solve:

Simplifying
90 + -1x = 0

Solving
90 + -1x = 0

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

Add '-90' to each side of the equation.
90 + -90 + -1x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + -1x = 0 + -90
-1x = 0 + -90

Combine like terms: 0 + -90 = -90
-1x = -90

Divide each side by '-1'.
x = 90

Simplifying
x = 90
Solution
x = {0, 30, 90}

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