(x(14-2x)(25-2x))=0

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Solution for (x(14-2x)(25-2x))=0 equation: 


Simplifying
(x(14 + -2x)(25 + -2x)) = 0

Multiply (14 + -2x) * (25 + -2x)
(x(14(25 + -2x) + -2x * (25 + -2x))) = 0
(x((25 * 14 + -2x * 14) + -2x * (25 + -2x))) = 0
(x((350 + -28x) + -2x * (25 + -2x))) = 0
(x(350 + -28x + (25 * -2x + -2x * -2x))) = 0
(x(350 + -28x + (-50x + 4x2))) = 0

Combine like terms: -28x + -50x = -78x
(x(350 + -78x + 4x2)) = 0
((350 * x + -78x * x + 4x2 * x)) = 0
((350x + -78x2 + 4x3)) = 0
(350x + -78x2 + 4x3) = 0

Remove parenthesis around (350x + -78x2 + 4x3)
350x + -78x2 + 4x3 = 0

Solving
350x + -78x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(175 + -39x + 2x2) = 0

Factor a trinomial.
2x((7 + -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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Divide each side by '-1'.
x = 7

Simplifying
x = 7

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, 7, 12.5}

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