x(16-2x)(25-2x)=0

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Solution for x(16-2x)(25-2x)=0 equation: 


Simplifying
x(16 + -2x)(25 + -2x) = 0

Multiply (16 + -2x) * (25 + -2x)
x(16(25 + -2x) + -2x * (25 + -2x)) = 0
x((25 * 16 + -2x * 16) + -2x * (25 + -2x)) = 0
x((400 + -32x) + -2x * (25 + -2x)) = 0
x(400 + -32x + (25 * -2x + -2x * -2x)) = 0
x(400 + -32x + (-50x + 4x2)) = 0

Combine like terms: -32x + -50x = -82x
x(400 + -82x + 4x2) = 0
(400 * x + -82x * x + 4x2 * x) = 0
(400x + -82x2 + 4x3) = 0

Solving
400x + -82x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(200 + -41x + 2x2) = 0

Factor a trinomial.
2x((8 + -1x)(25 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8

Subproblem 3
Set the factor '(25 + -2x)' equal to zero and attempt to solve:

Simplifying
25 + -2x = 0

Solving
25 + -2x = 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 + -2x = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -2x = 0 + -25
-2x = 0 + -25

Combine like terms: 0 + -25 = -25
-2x = -25

Divide each side by '-2'.
x = 12.5

Simplifying
x = 12.5
Solution
x = {0, 8, 12.5}

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