[x(17-2x)(31-2x)]=0

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Solution for [x(17-2x)(31-2x)]=0 equation: 


Simplifying
[x(17 + -2x)(31 + -2x)] = 0

Multiply (17 + -2x) * (31 + -2x)
[x(17(31 + -2x) + -2x * (31 + -2x))] = 0
[x((31 * 17 + -2x * 17) + -2x * (31 + -2x))] = 0
[x((527 + -34x) + -2x * (31 + -2x))] = 0
[x(527 + -34x + (31 * -2x + -2x * -2x))] = 0
[x(527 + -34x + (-62x + 4x2))] = 0

Combine like terms: -34x + -62x = -96x
[x(527 + -96x + 4x2)] = 0
[(527 * x + -96x * x + 4x2 * x)] = 0
[(527x + -96x2 + 4x3)] = 0
[527x + -96x2 + 4x3] = 0

Remove brackets around [527x + -96x2 + 4x3]
527x + -96x2 + 4x3 = 0

Solving
527x + -96x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(527 + -96x + 4x2) = 0

Factor a trinomial.
x((17 + -2x)(31 + -2x)) = 0


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 '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5

Subproblem 3
Set the factor '(31 + -2x)' equal to zero and attempt to solve:

Simplifying
31 + -2x = 0

Solving
31 + -2x = 0

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

Add '-31' to each side of the equation.
31 + -31 + -2x = 0 + -31

Combine like terms: 31 + -31 = 0
0 + -2x = 0 + -31
-2x = 0 + -31

Combine like terms: 0 + -31 = -31
-2x = -31

Divide each side by '-2'.
x = 15.5

Simplifying
x = 15.5
Solution
x = {0, 8.5, 15.5}

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