x(40-x)(50-2x)=0

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Solution for x(40-x)(50-2x)=0 equation: 


Simplifying
x(40 + -1x)(50 + -2x) = 0

Multiply (40 + -1x) * (50 + -2x)
x(40(50 + -2x) + -1x * (50 + -2x)) = 0
x((50 * 40 + -2x * 40) + -1x * (50 + -2x)) = 0
x((2000 + -80x) + -1x * (50 + -2x)) = 0
x(2000 + -80x + (50 * -1x + -2x * -1x)) = 0
x(2000 + -80x + (-50x + 2x2)) = 0

Combine like terms: -80x + -50x = -130x
x(2000 + -130x + 2x2) = 0
(2000 * x + -130x * x + 2x2 * x) = 0
(2000x + -130x2 + 2x3) = 0

Solving
2000x + -130x2 + 2x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(1000 + -65x + x2) = 0

Factor a trinomial.
2x((25 + -1x)(40 + -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 '(25 + -1x)' equal to zero and attempt to solve:

Simplifying
25 + -1x = 0

Solving
25 + -1x = 0

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

Add '-25' to each side of the equation.
25 + -25 + -1x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -1x = 0 + -25
-1x = 0 + -25

Combine like terms: 0 + -25 = -25
-1x = -25

Divide each side by '-1'.
x = 25

Simplifying
x = 25

Subproblem 3
Set the factor '(40 + -1x)' equal to zero and attempt to solve:

Simplifying
40 + -1x = 0

Solving
40 + -1x = 0

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

Add '-40' to each side of the equation.
40 + -40 + -1x = 0 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = 0 + -40
-1x = 0 + -40

Combine like terms: 0 + -40 = -40
-1x = -40

Divide each side by '-1'.
x = 40

Simplifying
x = 40
Solution
x = {0, 25, 40}

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