x(19-2x)(35-2x)=0

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Solution for x(19-2x)(35-2x)=0 equation: 


Simplifying
x(19 + -2x)(35 + -2x) = 0

Multiply (19 + -2x) * (35 + -2x)
x(19(35 + -2x) + -2x * (35 + -2x)) = 0
x((35 * 19 + -2x * 19) + -2x * (35 + -2x)) = 0
x((665 + -38x) + -2x * (35 + -2x)) = 0
x(665 + -38x + (35 * -2x + -2x * -2x)) = 0
x(665 + -38x + (-70x + 4x2)) = 0

Combine like terms: -38x + -70x = -108x
x(665 + -108x + 4x2) = 0
(665 * x + -108x * x + 4x2 * x) = 0
(665x + -108x2 + 4x3) = 0

Solving
665x + -108x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(665 + -108x + 4x2) = 0

Factor a trinomial.
x((19 + -2x)(35 + -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 '(19 + -2x)' equal to zero and attempt to solve:

Simplifying
19 + -2x = 0

Solving
19 + -2x = 0

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

Add '-19' to each side of the equation.
19 + -19 + -2x = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = 0 + -19
-2x = 0 + -19

Combine like terms: 0 + -19 = -19
-2x = -19

Divide each side by '-2'.
x = 9.5

Simplifying
x = 9.5

Subproblem 3
Set the factor '(35 + -2x)' equal to zero and attempt to solve:

Simplifying
35 + -2x = 0

Solving
35 + -2x = 0

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

Add '-35' to each side of the equation.
35 + -35 + -2x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -2x = 0 + -35
-2x = 0 + -35

Combine like terms: 0 + -35 = -35
-2x = -35

Divide each side by '-2'.
x = 17.5

Simplifying
x = 17.5
Solution
x = {0, 9.5, 17.5}

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