x(70-2x)(50-2x)=0

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Solution for x(70-2x)(50-2x)=0 equation: 


Simplifying
x(70 + -2x)(50 + -2x) = 0

Multiply (70 + -2x) * (50 + -2x)
x(70(50 + -2x) + -2x * (50 + -2x)) = 0
x((50 * 70 + -2x * 70) + -2x * (50 + -2x)) = 0
x((3500 + -140x) + -2x * (50 + -2x)) = 0
x(3500 + -140x + (50 * -2x + -2x * -2x)) = 0
x(3500 + -140x + (-100x + 4x2)) = 0

Combine like terms: -140x + -100x = -240x
x(3500 + -240x + 4x2) = 0
(3500 * x + -240x * x + 4x2 * x) = 0
(3500x + -240x2 + 4x3) = 0

Solving
3500x + -240x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4x'.
4x(875 + -60x + x2) = 0

Factor a trinomial.
4x((25 + -1x)(35 + -1x)) = 0

Ignore the factor 4.

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 '(35 + -1x)' equal to zero and attempt to solve:

Simplifying
35 + -1x = 0

Solving
35 + -1x = 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 + -1x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + -1x = 0 + -35
-1x = 0 + -35

Combine like terms: 0 + -35 = -35
-1x = -35

Divide each side by '-1'.
x = 35

Simplifying
x = 35
Solution
x = {0, 25, 35}

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